98525235600 has 480 divisors, whose sum is σ = 384375398400. Its totient is φ = 23771404800.

The previous prime is 98525235587. The next prime is 98525235629. The reversal of 98525235600 is 653252589.

98525235600 is a `hidden beast` number, since 9 + 8 + 5 + 2 + 5 + 2 + 35 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26490541 + ... + 26494259.

It is an arithmetic number, because the mean of its divisors is an integer number (800782080).

Almost surely, 2^98525235600 is an apocalyptic number.

98525235600 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 98525235600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192187699200).

98525235600 is an abundant number, since it is smaller than the sum of its proper divisors (285850162800).

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

98525235600 is a wasteful number, since it uses less digits than its factorization.

98525235600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 98525235600 in words is "ninety-eight billion, five hundred twenty-five million, two hundred thirty-five thousand, six hundred".