99532605600 has 432 divisors, whose sum is σ = 368640155520. Its totient is φ = 26202009600.

The previous prime is 99532605581. The next prime is 99532605619. The reversal of 99532605600 is 650623599.

99532605600 is a `hidden beast` number, since 9 + 9 + 5 + 32 + 6 + 0 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (99532605581) and next prime (99532605619).

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15354360 + ... + 15360840.

Almost surely, 2^99532605600 is an apocalyptic number.

99532605600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99532605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184320077760).

99532605600 is an abundant number, since it is smaller than the sum of its proper divisors (269107549920).

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

99532605600 is a wasteful number, since it uses less digits than its factorization.

99532605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 99532605600 in words is "ninety-nine billion, five hundred thirty-two million, six hundred five thousand, six hundred".