91639653600 has 288 divisors, whose sum is σ = 325754400384. Its totient is φ = 22191769600.

The previous prime is 91639653557. The next prime is 91639653613. The reversal of 91639653600 is 635693619.

It is a super-2 number, since 2×91639653600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 91639653600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45750199 + ... + 45752201.

It is an arithmetic number, because the mean of its divisors is an integer number (1131091668).

Almost surely, 2^91639653600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91639653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162877200192).

91639653600 is an abundant number, since it is smaller than the sum of its proper divisors (234114746784).

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

91639653600 is a wasteful number, since it uses less digits than its factorization.

91639653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 48.

The spelling of 91639653600 in words is "ninety-one billion, six hundred thirty-nine million, six hundred fifty-three thousand, six hundred".