89792102400 has 1440 divisors, whose sum is σ = 404100469248. Its totient is φ = 16986931200.

The previous prime is 89792102377. The next prime is 89792102401. The reversal of 89792102400 is 420129798.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89792102401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1230028764 + ... + 1230028836.

Almost surely, 2^89792102400 is an apocalyptic number.

89792102400 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 89792102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202050234624).

89792102400 is an abundant number, since it is smaller than the sum of its proper divisors (314308366848).

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

89792102400 is a wasteful number, since it uses less digits than its factorization.

89792102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 89792102400 in words is "eighty-nine billion, seven hundred ninety-two million, one hundred two thousand, four hundred".