98524200960 has 480 divisors, whose sum is σ = 365407742700. Its totient is φ = 25367150592.

The previous prime is 98524200923. The next prime is 98524200967. The reversal of 98524200960 is 6900242589.

98524200960 is a `hidden beast` number, since 98 + 52 + 420 + 0 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98184462336 + 339738624 = 313344^2 + 18432^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (98524200967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3397386226 + ... + 3397386254.

Almost surely, 2^98524200960 is an apocalyptic number.

98524200960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98524200960 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98524200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182703871350).

98524200960 is an abundant number, since it is smaller than the sum of its proper divisors (266883541740).

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

98524200960 is an frugal number, since it uses more digits than its factorization.

98524200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 98524200960 in words is "ninety-eight billion, five hundred twenty-four million, two hundred thousand, nine hundred sixty".