99993413729952 has 96 divisors (see below), whose sum is σ = 297150239050560. Its totient is φ = 32702248500480.

The previous prime is 99993413729921. The next prime is 99993413729969. The reversal of 99993413729952 is 25992731439999.

99993413729952 is a `hidden beast` number, since 9 + 9 + 9 + 93 + 413 + 7 + 29 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091776074 + ... + 1091867657.

It is an arithmetic number, because the mean of its divisors is an integer number (3095314990110).

Almost surely, 2^{99993413729952} is an apocalyptic number.

It is an amenable number.

99993413729952 is an abundant number, since it is smaller than the sum of its proper divisors (197156825320608).

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

99993413729952 is a wasteful number, since it uses less digits than its factorization.

99993413729952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183643803 (or 2183643789 counting only the distinct ones).

The product of its digits is 2678462640, while the sum is 81.

The spelling of 99993413729952 in words is "ninety-nine trillion, nine hundred ninety-three billion, four hundred thirteen million, seven hundred twenty-nine thousand, nine hundred fifty-two".