91821179232000 has 1728 divisors, whose sum is σ = 358870463078400. Its totient is φ = 23115491942400.

The previous prime is 91821179231959. The next prime is 91821179232011. The reversal of 91821179232000 is 23297112819.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×91821179232000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36107422729 + ... + 36107425271.

Almost surely, 2^{91821179232000} is an apocalyptic number.

91821179232000 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 91821179232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179435231539200).

91821179232000 is an abundant number, since it is smaller than the sum of its proper divisors (267049283846400).

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

91821179232000 is a wasteful number, since it uses less digits than its factorization.

91821179232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 91821179232000 in words is "ninety-one trillion, eight hundred twenty-one billion, one hundred seventy-nine million, two hundred thirty-two thousand".