99629145792000 has 1920 divisors, whose sum is σ = 408113079948288. Its totient is φ = 23145357312000.

The previous prime is 99629145791939. The next prime is 99629145792041. The reversal of 99629145792000 is 29754192699.

99629145792000 is a `hidden beast` number, since 9 + 9 + 6 + 2 + 91 + 457 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15706940829 + ... + 15706947171.

Almost surely, 2^{99629145792000} is an apocalyptic number.

99629145792000 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 99629145792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204056539974144).

99629145792000 is an abundant number, since it is smaller than the sum of its proper divisors (308483934156288).

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

99629145792000 is a wasteful number, since it uses less digits than its factorization.

99629145792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 99629145792000 in words is "ninety-nine trillion, six hundred twenty-nine billion, one hundred forty-five million, seven hundred ninety-two thousand".