91056752640 has 480 divisors, whose sum is σ = 373024491840. Its totient is φ = 20811644928.

The previous prime is 91056752629. The next prime is 91056752653. The reversal of 91056752640 is 4625765019.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5798239 + ... + 5813921.

It is an arithmetic number, because the mean of its divisors is an integer number (777134358).

Almost surely, 2^91056752640 is an apocalyptic number.

91056752640 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 91056752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186512245920).

91056752640 is an abundant number, since it is smaller than the sum of its proper divisors (281967739200).

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

91056752640 is a wasteful number, since it uses less digits than its factorization.

91056752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15729 (or 15700 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 91056752640 in words is "ninety-one billion, fifty-six million, seven hundred fifty-two thousand, six hundred forty".