99980400960400 has 135 divisors (see below), whose sum is σ = 251112140303731. Its totient is φ = 38251610974720.

The previous prime is 99980400960389. The next prime is 99980400960413. The reversal of 99980400960400 is 406900408999.

The square root of 99980400960400 is 9999020.

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 40207215719056 + 59773185241344 = 6340916^2 + 7731312^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 4599538332 + ... + 4599560068.

Almost surely, 2^{99980400960400} is an apocalyptic number.

99980400960400 is the 9999020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99980400960400

99980400960400 is an abundant number, since it is smaller than the sum of its proper divisors (151131739343331).

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

99980400960400 is an frugal number, since it uses more digits than its factorization.

99980400960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43538 (or 21767 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 58.

The spelling of 99980400960400 in words is "ninety-nine trillion, nine hundred eighty billion, four hundred million, nine hundred sixty thousand, four hundred".