98520361632 has 576 divisors, whose sum is σ = 366148823040. Its totient is φ = 24365721600.

The previous prime is 98520361627. The next prime is 98520361657. The reversal of 98520361632 is 23616302589.

98520361632 is a `hidden beast` number, since 9 + 8 + 5 + 2 + 0 + 3 + 6 + 1 + 632 = 666.

It is a super-2 number, since 2×98520361632² (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 95 ways as a sum of consecutive naturals, for example, 213709882 + ... + 213710342.

It is an arithmetic number, because the mean of its divisors is an integer number (635675040).

Almost surely, 2^98520361632 is an apocalyptic number.

98520361632 is a gapful number since it is divisible by the number (92) 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 98520361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183074411520).

98520361632 is an abundant number, since it is smaller than the sum of its proper divisors (267628461408).

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

98520361632 is a wasteful number, since it uses less digits than its factorization.

98520361632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 98520361632 in words is "ninety-eight billion, five hundred twenty million, three hundred sixty-one thousand, six hundred thirty-two".