99203125827960 has 4096 divisors, whose sum is σ = 479111086080000. Its totient is φ = 17607750451200.

The previous prime is 99203125827887. The next prime is 99203125827973. The reversal of 99203125827960 is 6972852130299.

99203125827960 is a `hidden beast` number, since 9 + 9 + 20 + 31 + 258 + 279 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 90762237174 + ... + 90762238266.

It is an arithmetic number, because the mean of its divisors is an integer number (116970480000).

Almost surely, 2^{99203125827960} is an apocalyptic number.

99203125827960 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 99203125827960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239555543040000).

99203125827960 is an abundant number, since it is smaller than the sum of its proper divisors (379907960252040).

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

99203125827960 is a wasteful number, since it uses less digits than its factorization.

99203125827960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 99203125827960 in words is "ninety-nine trillion, two hundred three billion, one hundred twenty-five million, eight hundred twenty-seven thousand, nine hundred sixty".