89916825600 has 1344 divisors, whose sum is σ = 397847393280. Its totient is φ = 19464192000.

The previous prime is 89916825599. The next prime is 89916825613. The reversal of 89916825600 is 652861998.

It is a happy number.

89916825600 is a `hidden beast` number, since 8 + 9 + 9 + 1 + 6 + 8 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890265550 + ... + 890265650.

Almost surely, 2^89916825600 is an apocalyptic number.

89916825600 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 89916825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198923696640).

89916825600 is an abundant number, since it is smaller than the sum of its proper divisors (307930567680).

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

89916825600 is a wasteful number, since it uses less digits than its factorization.

89916825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 89916825600 in words is "eighty-nine billion, nine hundred sixteen million, eight hundred twenty-five thousand, six hundred".