98913052800 has 672 divisors, whose sum is σ = 370663078500. Its totient is φ = 26067640320.

The previous prime is 98913052781. The next prime is 98913052811. The reversal of 98913052800 is 825031989.

It is a happy number.

98913052800 is a `hidden beast` number, since 9 + 8 + 91 + 30 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32063916096 + 66849136704 = 179064^2 + 258552^2 .

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 83 ways as a sum of consecutive naturals, for example, 254275006 + ... + 254275394.

Almost surely, 2^98913052800 is an apocalyptic number.

98913052800 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 98913052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185331539250).

98913052800 is an abundant number, since it is smaller than the sum of its proper divisors (271750025700).

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

98913052800 is a wasteful number, since it uses less digits than its factorization.

98913052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 98913052800 in words is "ninety-eight billion, nine hundred thirteen million, fifty-two thousand, eight hundred".