99868640400 has 405 divisors, whose sum is σ = 363884398059. Its totient is φ = 25362501120.

The previous prime is 99868640393. The next prime is 99868640471. The reversal of 99868640400 is 404686899.

The square root of 99868640400 is 316020.

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 13630095504 + 86238544896 = 116748^2 + 293664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 436107486 + ... + 436107714.

Almost surely, 2^99868640400 is an apocalyptic number.

99868640400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99868640400 is the 316020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99868640400

99868640400 is an abundant number, since it is smaller than the sum of its proper divisors (264015757659).

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

99868640400 is a wasteful number, since it uses less digits than its factorization.

99868640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 99868640400 in words is "ninety-nine billion, eight hundred sixty-eight million, six hundred forty thousand, four hundred".