89976001600 has 63 divisors (see below), whose sum is σ = 221426726437. Its totient is φ = 35985601280.

The previous prime is 89976001597. The next prime is 89976001631. The reversal of 89976001600 is 610067998.

The square root of 89976001600 is 299960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32391360576 + 57584641024 = 179976^2 + 239968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11994651 + ... + 12002149.

Almost surely, 2^89976001600 is an apocalyptic number.

89976001600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89976001600 is the 299960-th square number.

It is an amenable number.

89976001600 is an abundant number, since it is smaller than the sum of its proper divisors (131450724837).

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

89976001600 is an frugal number, since it uses more digits than its factorization.

89976001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15020 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 89976001600 in words is "eighty-nine billion, nine hundred seventy-six million, one thousand, six hundred".