89900928000 has 1760 divisors, whose sum is σ = 389482853760. Its totient is φ = 20437401600.

The previous prime is 89900927957. The next prime is 89900928053. The reversal of 89900928000 is 82900998.

It is a super-2 number, since 2×89900928000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3100031986 + ... + 3100032014.

It is an arithmetic number, because the mean of its divisors is an integer number (221297076).

Almost surely, 2^89900928000 is an apocalyptic number.

89900928000 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 89900928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194741426880).

89900928000 is an abundant number, since it is smaller than the sum of its proper divisors (299581925760).

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

89900928000 is a wasteful number, since it uses less digits than its factorization.

89900928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 89900928000 in words is "eighty-nine billion, nine hundred million, nine hundred twenty-eight thousand".