98872513600 has 189 divisors, whose sum is σ = 283260933477. Its totient is φ = 33868961280.

The previous prime is 98872513559. The next prime is 98872513601. The reversal of 98872513600 is 631527889.

The square root of 98872513600 is 314440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35594104896 + 63278408704 = 188664^2 + 251552^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98872513601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 88042639 + ... + 88043761.

Almost surely, 2^98872513600 is an apocalyptic number.

98872513600 is the 314440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98872513600

98872513600 is an abundant number, since it is smaller than the sum of its proper divisors (184388419877).

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

98872513600 is an equidigital number, since it uses as much as digits as its factorization.

98872513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 98872513600 by its sum of digits (49), we get a square (4844753166400 = 2201080²).

98872513600 divided by its sum of digits (49) gives a square (2017806400 = 44920²).

The spelling of 98872513600 in words is "ninety-eight billion, eight hundred seventy-two million, five hundred thirteen thousand, six hundred".