98975928913920 has 624 divisors, whose sum is σ = 356001836823360. Its totient is φ = 26377211215872.

The previous prime is 98975928913907. The next prime is 98975928913963. The reversal of 98975928913920 is 2931982957989.

98975928913920 is a `hidden beast` number, since 9 + 8 + 9 + 7 + 592 + 8 + 9 + 13 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 98975928913920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9490447266 + ... + 9490457694.

It is an arithmetic number, because the mean of its divisors is an integer number (570515764140).

Almost surely, 2^{98975928913920} is an apocalyptic number.

98975928913920 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 98975928913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178000918411680).

98975928913920 is an abundant number, since it is smaller than the sum of its proper divisors (257025907909440).

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

98975928913920 is a wasteful number, since it uses less digits than its factorization.

98975928913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 81.

The spelling of 98975928913920 in words is "ninety-eight trillion, nine hundred seventy-five billion, nine hundred twenty-eight million, nine hundred thirteen thousand, nine hundred twenty".