89663792400 has 1680 divisors, whose sum is σ = 414099051520. Its totient is φ = 18139852800.

The previous prime is 89663792377. The next prime is 89663792401. The reversal of 89663792400 is 429736698.

It is a happy number.

89663792400 is a `hidden beast` number, since 8 + 96 + 63 + 7 + 92 + 400 = 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 not an unprimeable number, because it can be changed into a prime (89663792401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 822603546 + ... + 822603654.

Almost surely, 2^89663792400 is an apocalyptic number.

89663792400 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 89663792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207049525760).

89663792400 is an abundant number, since it is smaller than the sum of its proper divisors (324435259120).

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

89663792400 is a wasteful number, since it uses less digits than its factorization.

89663792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 89663792400 in words is "eighty-nine billion, six hundred sixty-three million, seven hundred ninety-two thousand, four hundred".