91729428480000 has 1080 divisors, whose sum is σ = 343822866901360. Its totient is φ = 24461180928000.

The previous prime is 91729428479993. The next prime is 91729428480037. The reversal of 91729428480000 is 8482492719.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ 5! ⋅ (2!)¹¹.

91729428480000 is a `hidden beast` number, since 9 + 1 + 72 + 94 + 2 + 8 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×91729428480000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 57600 × 34560 × 46080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18345885695998 + ... + 18345885696002.

Almost surely, 2^{91729428480000} is an apocalyptic number.

91729428480000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91729428480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171911433450680).

91729428480000 is an abundant number, since it is smaller than the sum of its proper divisors (252093438421360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91729428480000 is an frugal number, since it uses more digits than its factorization.

91729428480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 91729428480000 in words is "ninety-one trillion, seven hundred twenty-nine billion, four hundred twenty-eight million, four hundred eighty thousand".