98832076560 has 640 divisors, whose sum is σ = 423687168000. Its totient is φ = 20661516288.

The previous prime is 98832076549. The next prime is 98832076601. The reversal of 98832076560 is 6567023889.

It is a happy number.

98832076560 is a `hidden beast` number, since 9 + 8 + 8 + 3 + 2 + 0 + 76 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98832076497 and 98832076506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8325189 + ... + 8337051.

It is an arithmetic number, because the mean of its divisors is an integer number (662011200).

Almost surely, 2^98832076560 is an apocalyptic number.

98832076560 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 98832076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211843584000).

98832076560 is an abundant number, since it is smaller than the sum of its proper divisors (324855091440).

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

98832076560 is a wasteful number, since it uses less digits than its factorization.

98832076560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11940 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 98832076560 in words is "ninety-eight billion, eight hundred thirty-two million, seventy-six thousand, five hundred sixty".