99956505600 has 1056 divisors, whose sum is σ = 426755939840. Its totient is φ = 22454599680.

The previous prime is 99956505587. The next prime is 99956505611. The reversal of 99956505600 is 650565999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353203059 + ... + 353203341.

Almost surely, 2^99956505600 is an apocalyptic number.

99956505600 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 99956505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213377969920).

99956505600 is an abundant number, since it is smaller than the sum of its proper divisors (326799434240).

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

99956505600 is a wasteful number, since it uses less digits than its factorization.

99956505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3280500, while the sum is 54.

The spelling of 99956505600 in words is "ninety-nine billion, nine hundred fifty-six million, five hundred five thousand, six hundred".