98975385600 has 1152 divisors, whose sum is σ = 412431102720. Its totient is φ = 20384317440.

The previous prime is 98975385539. The next prime is 98975385601. The reversal of 98975385600 is 658357989.

It is a super-2 number, since 2×98975385600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (98975385601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1020364752 + ... + 1020364848.

It is an arithmetic number, because the mean of its divisors is an integer number (358013110).

Almost surely, 2^98975385600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98975385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206215551360).

98975385600 is an abundant number, since it is smaller than the sum of its proper divisors (313455717120).

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

98975385600 is a wasteful number, since it uses less digits than its factorization.

98975385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 98975385600 in words is "ninety-eight billion, nine hundred seventy-five million, three hundred eighty-five thousand, six hundred".