99881281600 has 63 divisors (see below), whose sum is σ = 245801488711. Its totient is φ = 39947456000.

The previous prime is 99881281573. The next prime is 99881281601. The reversal of 99881281600 is 618218899.

The square root of 99881281600 is 316040.

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

It can be written as a sum of positive squares in 4 ways, for example, as 247621696 + 99633659904 = 15736^2 + 315648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99881281601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12637650 + ... + 12645550.

Almost surely, 2^99881281600 is an apocalyptic number.

99881281600 is the 316040-th square number.

It is an amenable number.

99881281600 is an abundant number, since it is smaller than the sum of its proper divisors (145920207111).

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

99881281600 is an frugal number, since it uses more digits than its factorization.

99881281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15824 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 52.

The spelling of 99881281600 in words is "ninety-nine billion, eight hundred eighty-one million, two hundred eighty-one thousand, six hundred".