89299584400 has 120 divisors (see below), whose sum is σ = 231947982504. Its totient is φ = 32843366400.

The previous prime is 89299584373. The next prime is 89299584433. The reversal of 89299584400 is 448599298.

It can be written as a sum of positive squares in 12 ways, for example, as 28673326224 + 60626258176 = 169332^2 + 246224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1302990 + ... + 1369810.

Almost surely, 2^89299584400 is an apocalyptic number.

89299584400 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 89299584400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115973991252).

89299584400 is an abundant number, since it is smaller than the sum of its proper divisors (142648398104).

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

89299584400 is a wasteful number, since it uses less digits than its factorization.

89299584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67109 (or 67098 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 89299584400 in words is "eighty-nine billion, two hundred ninety-nine million, five hundred eighty-four thousand, four hundred".