98972580096 has 432 divisors, whose sum is σ = 314941972800. Its totient is φ = 29707223040.

The previous prime is 98972580053. The next prime is 98972580103. The reversal of 98972580096 is 69008527989.

It is a super-2 number, since 2×98972580096² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299010651 + ... + 299010981.

Almost surely, 2^98972580096 is an apocalyptic number.

98972580096 is a gapful number since it is divisible by the number (96) 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 98972580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157470986400).

98972580096 is an abundant number, since it is smaller than the sum of its proper divisors (215969392704).

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

98972580096 is a wasteful number, since it uses less digits than its factorization.

98972580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 98972580096 in words is "ninety-eight billion, nine hundred seventy-two million, five hundred eighty thousand, ninety-six".