99530247432960 has 1152 divisors, whose sum is σ = 365218325176320. Its totient is φ = 25651327795200.

The previous prime is 99530247432911. The next prime is 99530247433003. The reversal of 99530247432960 is 6923474203599.

99530247432960 is a `hidden beast` number, since 9 + 9 + 5 + 3 + 0 + 247 + 4 + 329 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76151680627 + ... + 76151681933.

It is an arithmetic number, because the mean of its divisors is an integer number (317029796160).

Almost surely, 2^{99530247432960} is an apocalyptic number.

99530247432960 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 99530247432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182609162588160).

99530247432960 is an abundant number, since it is smaller than the sum of its proper divisors (265688077743360).

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

99530247432960 is a wasteful number, since it uses less digits than its factorization.

99530247432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 99530247432960 in words is "ninety-nine trillion, five hundred thirty billion, two hundred forty-seven million, four hundred thirty-two thousand, nine hundred sixty".