91965404160 has 880 divisors, whose sum is σ = 382349468160. Its totient is φ = 20702822400.

The previous prime is 91965404087. The next prime is 91965404173. The reversal of 91965404160 is 6140456919.

It is a happy number.

91965404160 is a `hidden beast` number, since 9 + 1 + 9 + 6 + 540 + 41 + 60 = 666.

It is a super-3 number, since 3×91965404160³ (a number of 34 digits) contains 333 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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229339960 + ... + 229340360.

It is an arithmetic number, because the mean of its divisors is an integer number (434488032).

Almost surely, 2^91965404160 is an apocalyptic number.

91965404160 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 91965404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191174734080).

91965404160 is an abundant number, since it is smaller than the sum of its proper divisors (290384064000).

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

91965404160 is a wasteful number, since it uses less digits than its factorization.

91965404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 91965404160 in words is "ninety-one billion, nine hundred sixty-five million, four hundred four thousand, one hundred sixty".