98618572800 has 792 divisors, whose sum is σ = 405672986160. Its totient is φ = 22649241600.

The previous prime is 98618572771. The next prime is 98618572831. The reversal of 98618572800 is 827581689.

98618572800 is a `hidden beast` number, since 9 + 8 + 61 + 8 + 572 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×98618572800² (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 35 ways as a sum of consecutive naturals, for example, 5190451191 + ... + 5190451209.

Almost surely, 2^98618572800 is an apocalyptic number.

98618572800 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 98618572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202836493080).

98618572800 is an abundant number, since it is smaller than the sum of its proper divisors (307054413360).

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

98618572800 is an equidigital number, since it uses as much as digits as its factorization.

98618572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 98618572800 in words is "ninety-eight billion, six hundred eighteen million, five hundred seventy-two thousand, eight hundred".