91286542080000 has 960 divisors, whose sum is σ = 347045094396000. Its totient is φ = 23684825088000.

The previous prime is 91286542079983. The next prime is 91286542080043. The reversal of 91286542080000 is 8024568219.

91286542080000 is a `hidden beast` number, since 9 + 1 + 28 + 6 + 542 + 0 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×91286542080000² (a number of 29 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 1278684306 + ... + 1278755694.

Almost surely, 2^{91286542080000} is an apocalyptic number.

91286542080000 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 91286542080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173522547198000).

91286542080000 is an abundant number, since it is smaller than the sum of its proper divisors (255758552316000).

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

91286542080000 is an equidigital number, since it uses as much as digits as its factorization.

91286542080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71477 (or 71436 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 91286542080000 in words is "ninety-one trillion, two hundred eighty-six billion, five hundred forty-two million, eighty thousand".