91987358400 has 1008 divisors, whose sum is σ = 393646582784. Its totient is φ = 20692869120.

The previous prime is 91987358383. The next prime is 91987358431. The reversal of 91987358400 is 485378919.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198676569 + ... + 198677031.

Almost surely, 2^91987358400 is an apocalyptic number.

91987358400 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 91987358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196823291392).

91987358400 is an abundant number, since it is smaller than the sum of its proper divisors (301659224384).

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

91987358400 is a wasteful number, since it uses less digits than its factorization.

91987358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 91987358400 in words is "ninety-one billion, nine hundred eighty-seven million, three hundred fifty-eight thousand, four hundred".