99754905600 has 1053 divisors, whose sum is σ = 424666875477. Its totient is φ = 22315991040.

The previous prime is 99754905583. The next prime is 99754905619. The reversal of 99754905600 is 650945799.

The square root of 99754905600 is 315840.

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

99754905600 is a `hidden beast` number, since 9 + 9 + 75 + 4 + 9 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35911766016 + 63843139584 = 189504^2 + 252672^2 .

It is a super-2 number, since 2×99754905600² (a number of 23 digits) contains 22 as substring.

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, 2122444777 + ... + 2122444823.

Almost surely, 2^99754905600 is an apocalyptic number.

99754905600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99754905600 is the 315840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99754905600

99754905600 is an abundant number, since it is smaller than the sum of its proper divisors (324911969877).

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

99754905600 is a wasteful number, since it uses less digits than its factorization.

99754905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 99754905600 in words is "ninety-nine billion, seven hundred fifty-four million, nine hundred five thousand, six hundred".