99513398920320 has 384 divisors, whose sum is σ = 428424569988480. Its totient is φ = 20678108774400.

The previous prime is 99513398920283. The next prime is 99513398920333. The reversal of 99513398920320 is 2302989331599.

99513398920320 is a `hidden beast` number, since 9 + 9 + 5 + 13 + 398 + 9 + 203 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 111742401 + ... + 112629440.

It is an arithmetic number, because the mean of its divisors is an integer number (1115688984345).

Almost surely, 2^{99513398920320} is an apocalyptic number.

99513398920320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99513398920320 is an abundant number, since it is smaller than the sum of its proper divisors (328911171068160).

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

99513398920320 is a wasteful number, since it uses less digits than its factorization.

99513398920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224371884 (or 224371869 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 99513398920320 in words is "ninety-nine trillion, five hundred thirteen billion, three hundred ninety-eight million, nine hundred twenty thousand, three hundred twenty".