99953675136000 has 1408 divisors, whose sum is σ = 444424307558400. Its totient is φ = 21644004556800.

The previous prime is 99953675135989. The next prime is 99953675136067. The reversal of 99953675136000 is 63157635999.

99953675136000 is a `hidden beast` number, since 9 + 9 + 9 + 5 + 3 + 6 + 7 + 5 + 13 + 600 + 0 = 666.

It is a super-3 number, since 3×99953675136000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 459539272 + ... + 459756728.

Almost surely, 2^{99953675136000} is an apocalyptic number.

99953675136000 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 99953675136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222212153779200).

99953675136000 is an abundant number, since it is smaller than the sum of its proper divisors (344470632422400).

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

99953675136000 is a wasteful number, since it uses less digits than its factorization.

99953675136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217527 (or 217493 counting only the distinct ones).

The product of its (nonzero) digits is 41334300, while the sum is 63.

The spelling of 99953675136000 in words is "ninety-nine trillion, nine hundred fifty-three billion, six hundred seventy-five million, one hundred thirty-six thousand".