99969792400 has 45 divisors (see below), whose sum is σ = 240192619651. Its totient is φ = 39985387520.

The previous prime is 99969792371. The next prime is 99969792401. The reversal of 99969792400 is 429796999.

The square root of 99969792400 is 316180.

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 45033932944 + 54935859456 = 212212^2 + 234384^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99969792401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6315696 + ... + 6331504.

Almost surely, 2^99969792400 is an apocalyptic number.

99969792400 is the 316180-th square number.

It is an amenable number.

99969792400 is an abundant number, since it is smaller than the sum of its proper divisors (140222827251).

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

99969792400 is an frugal number, since it uses more digits than its factorization.

99969792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31636 (or 15816 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 64.

Multiplying 99969792400 by its sum of digits (64), we get a square (6398066713600 = 2529440²).

The spelling of 99969792400 in words is "ninety-nine billion, nine hundred sixty-nine million, seven hundred ninety-two thousand, four hundred".