91056601440 has 192 divisors, whose sum is σ = 364226526720. Its totient is φ = 20812930560.

The previous prime is 91056601439. The next prime is 91056601459. The reversal of 91056601440 is 4410665019.

91056601440 is a `hidden beast` number, since 9 + 1 + 0 + 5 + 6 + 601 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 91056601395 and 91056601404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1475326 + ... + 1535805.

It is an arithmetic number, because the mean of its divisors is an integer number (1897013160).

Almost surely, 2^91056601440 is an apocalyptic number.

91056601440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91056601440 is an abundant number, since it is smaller than the sum of its proper divisors (273169925280).

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

91056601440 is a wasteful number, since it uses less digits than its factorization.

91056601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011162 (or 3011148 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 91056601440 in words is "ninety-one billion, fifty-six million, six hundred one thousand, four hundred forty".