91992117600 has 432 divisors, whose sum is σ = 343186159680. Its totient is φ = 23122713600.

The previous prime is 91992117593. The next prime is 91992117643. The reversal of 91992117600 is 671129919.

91992117600 is a `hidden beast` number, since 9 + 1 + 9 + 9 + 21 + 17 + 600 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28863207 + ... + 28866393.

Almost surely, 2^91992117600 is an apocalyptic number.

91992117600 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 91992117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171593079840).

91992117600 is an abundant number, since it is smaller than the sum of its proper divisors (251194042080).

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

91992117600 is a wasteful number, since it uses less digits than its factorization.

91992117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The spelling of 91992117600 in words is "ninety-one billion, nine hundred ninety-two million, one hundred seventeen thousand, six hundred".