91752460800 has 2160 divisors, whose sum is σ = 430825925376. Its totient is φ = 17031168000.

The previous prime is 91752460759. The next prime is 91752460801. The reversal of 91752460800 is 806425719.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91752460801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2959756785 + ... + 2959756815.

Almost surely, 2^91752460800 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 91752460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215412962688).

91752460800 is an abundant number, since it is smaller than the sum of its proper divisors (339073464576).

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

91752460800 is a wasteful number, since it uses less digits than its factorization.

91752460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 91752460800 in words is "ninety-one billion, seven hundred fifty-two million, four hundred sixty thousand, eight hundred".