98086584960 has 2048 divisors, whose sum is σ = 466099200000. Its totient is φ = 19313344512.

The previous prime is 98086584943. The next prime is 98086584961. The reversal of 98086584960 is 6948568089.

98086584960 is a `hidden beast` number, since 9 + 80 + 8 + 65 + 8 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (98086584961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1463978847 + ... + 1463978913.

It is an arithmetic number, because the mean of its divisors is an integer number (227587500).

Almost surely, 2^98086584960 is an apocalyptic number.

98086584960 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 98086584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233049600000).

98086584960 is an abundant number, since it is smaller than the sum of its proper divisors (368012615040).

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

98086584960 is a wasteful number, since it uses less digits than its factorization.

98086584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 98086584960 in words is "ninety-eight billion, eighty-six million, five hundred eighty-four thousand, nine hundred sixty".