98362588320 has 576 divisors, whose sum is σ = 358012182528. Its totient is φ = 24551424000.

The previous prime is 98362588307. The next prime is 98362588411. The reversal of 98362588320 is 2388526389.

98362588320 is a `hidden beast` number, since 9 + 8 + 3 + 625 + 8 + 8 + 3 + 2 + 0 = 666.

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, 408143400 + ... + 408143640.

It is an arithmetic number, because the mean of its divisors is an integer number (621548928).

Almost surely, 2^98362588320 is an apocalyptic number.

98362588320 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 98362588320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179006091264).

98362588320 is an abundant number, since it is smaller than the sum of its proper divisors (259649594208).

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

98362588320 is a wasteful number, since it uses less digits than its factorization.

98362588320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 98362588320 in words is "ninety-eight billion, three hundred sixty-two million, five hundred eighty-eight thousand, three hundred twenty".