98057797920 has 288 divisors, whose sum is σ = 355115320560. Its totient is φ = 24554373120.

The previous prime is 98057797913. The next prime is 98057797931. The reversal of 98057797920 is 2979775089.

It can be written as a sum of positive squares in 8 ways, for example, as 69563007504 + 28494790416 = 263748^2 + 168804^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11280936 + ... + 11289624.

Almost surely, 2^98057797920 is an apocalyptic number.

98057797920 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 98057797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177557660280).

98057797920 is an abundant number, since it is smaller than the sum of its proper divisors (257057522640).

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

98057797920 is a wasteful number, since it uses less digits than its factorization.

98057797920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 98057797920 in words is "ninety-eight billion, fifty-seven million, seven hundred ninety-seven thousand, nine hundred twenty".