91415900160 has 832 divisors, whose sum is σ = 356571922560. Its totient is φ = 22359048192.

The previous prime is 91415900159. The next prime is 91415900161. The reversal of 91415900160 is 6100951419.

91415900160 is a `hidden beast` number, since 9 + 1 + 4 + 1 + 590 + 0 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (91415900159) and next prime (91415900161).

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91415900161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582266802 + ... + 582266958.

Almost surely, 2^91415900160 is an apocalyptic number.

91415900160 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 91415900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178285961280).

91415900160 is an abundant number, since it is smaller than the sum of its proper divisors (265156022400).

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

91415900160 is an equidigital number, since it uses as much as digits as its factorization.

91415900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 91415900160 in words is "ninety-one billion, four hundred fifteen million, nine hundred thousand, one hundred sixty".