89976700800 has 1152 divisors, whose sum is σ = 391251967200. Its totient is φ = 20127744000.

The previous prime is 89976700799. The next prime is 89976700813. The reversal of 89976700800 is 800767998.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224380600 + ... + 224381000.

Almost surely, 2^89976700800 is an apocalyptic number.

89976700800 is a gapful number since it is divisible by the number (80) 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 89976700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195625983600).

89976700800 is an abundant number, since it is smaller than the sum of its proper divisors (301275266400).

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

89976700800 is a wasteful number, since it uses less digits than its factorization.

89976700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 89976700800 in words is "eighty-nine billion, nine hundred seventy-six million, seven hundred thousand, eight hundred".