89982446400 has 1680 divisors, whose sum is σ = 421467881472. Its totient is φ = 18289152000.

The previous prime is 89982446387. The next prime is 89982446443. The reversal of 89982446400 is 464428998.

89982446400 is a `hidden beast` number, since 89 + 9 + 82 + 446 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 708523137 + ... + 708523263.

Almost surely, 2^89982446400 is an apocalyptic number.

89982446400 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 89982446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210733940736).

89982446400 is an abundant number, since it is smaller than the sum of its proper divisors (331485435072).

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

89982446400 is a wasteful number, since it uses less digits than its factorization.

89982446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 89982446400 in words is "eighty-nine billion, nine hundred eighty-two million, four hundred forty-six thousand, four hundred".