89885376000 has 800 divisors, whose sum is σ = 382804373952. Its totient is φ = 20536934400.

The previous prime is 89885375989. The next prime is 89885376013. The reversal of 89885376000 is 67358898.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×89885376000² (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 36286762 + ... + 36289238.

Almost surely, 2^89885376000 is an apocalyptic number.

89885376000 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 89885376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191402186976).

89885376000 is an abundant number, since it is smaller than the sum of its proper divisors (292918997952).

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

89885376000 is an equidigital number, since it uses as much as digits as its factorization.

89885376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 89885376000 in words is "eighty-nine billion, eight hundred eighty-five million, three hundred seventy-six thousand".