89924172800 has 792 divisors, whose sum is σ = 298623565440. Its totient is φ = 26553139200.

The previous prime is 89924172769. The next prime is 89924172803. The reversal of 89924172800 is 827142998.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89924172803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4732851191 + ... + 4732851209.

Almost surely, 2^89924172800 is an apocalyptic number.

89924172800 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 89924172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149311782720).

89924172800 is an abundant number, since it is smaller than the sum of its proper divisors (208699392640).

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

89924172800 is an equidigital number, since it uses as much as digits as its factorization.

89924172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 89924172800 in words is "eighty-nine billion, nine hundred twenty-four million, one hundred seventy-two thousand, eight hundred".