99153402117120 has 1232 divisors, whose sum is σ = 385042241636640. Its totient is φ = 24343748149248.

The previous prime is 99153402117089. The next prime is 99153402117131. The reversal of 99153402117120 is 2171120435199.

99153402117120 is a `hidden beast` number, since 9 + 9 + 1 + 5 + 3 + 402 + 117 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20330816122 + ... + 20330820998.

Almost surely, 2^{99153402117120} is an apocalyptic number.

99153402117120 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 99153402117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192521120818320).

99153402117120 is an abundant number, since it is smaller than the sum of its proper divisors (285888839519520).

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

99153402117120 is a wasteful number, since it uses less digits than its factorization.

99153402117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 99153402117120 in words is "ninety-nine trillion, one hundred fifty-three billion, four hundred two million, one hundred seventeen thousand, one hundred twenty".