98425517008896 has 672 divisors, whose sum is σ = 367879262587200. Its totient is φ = 25565039493120.

The previous prime is 98425517008883. The next prime is 98425517008927. The reversal of 98425517008896 is 69880071552489.

98425517008896 is a `hidden beast` number, since 9 + 8 + 4 + 25 + 517 + 0 + 0 + 8 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 114532300 + ... + 115388468.

It is an arithmetic number, because the mean of its divisors is an integer number (547439378850).

Almost surely, 2^{98425517008896} is an apocalyptic number.

98425517008896 is a gapful number since it is divisible by the number (96) 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 98425517008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183939631293600).

98425517008896 is an abundant number, since it is smaller than the sum of its proper divisors (269453745578304).

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

98425517008896 is an equidigital number, since it uses as much as digits as its factorization.

98425517008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856227 (or 856192 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 98425517008896 in words is "ninety-eight trillion, four hundred twenty-five billion, five hundred seventeen million, eight thousand, eight hundred ninety-six".