91995523200 has 576 divisors, whose sum is σ = 389073222720. Its totient is φ = 21026304000.

The previous prime is 91995523199. The next prime is 91995523201. The reversal of 91995523200 is 232559919.

91995523200 is a `hidden beast` number, since 9 + 1 + 99 + 552 + 3 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (91995523199) and next prime (91995523201).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (91995523201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5434750 + ... + 5451650.

It is an arithmetic number, because the mean of its divisors is an integer number (675474345).

Almost surely, 2^91995523200 is an apocalyptic number.

91995523200 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 91995523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194536611360).

91995523200 is an abundant number, since it is smaller than the sum of its proper divisors (297077699520).

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

91995523200 is a wasteful number, since it uses less digits than its factorization.

91995523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16947 (or 16918 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 91995523200 in words is "ninety-one billion, nine hundred ninety-five million, five hundred twenty-three thousand, two hundred".