91690856409600 has 5760 divisors, whose sum is σ = 435328201211904. Its totient is φ = 18632540160000.

The previous prime is 91690856409577. The next prime is 91690856409601. The reversal of 91690856409600 is 690465809619.

91690856409600 is a `hidden beast` number, since 9 + 1 + 6 + 9 + 0 + 8 + 564 + 0 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (91690856409601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 699930201535 + ... + 699930201665.

Almost surely, 2^{91690856409600} is an apocalyptic number.

91690856409600 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 91690856409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217664100605952).

91690856409600 is an abundant number, since it is smaller than the sum of its proper divisors (343637344802304).

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

91690856409600 is a wasteful number, since it uses less digits than its factorization.

91690856409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 91690856409600 in words is "ninety-one trillion, six hundred ninety billion, eight hundred fifty-six million, four hundred nine thousand, six hundred".