98159846400 has 1188 divisors, whose sum is σ = 442379560896. Its totient is φ = 20356300800.

The previous prime is 98159846339. The next prime is 98159846401. The reversal of 98159846400 is 464895189.

98159846400 is a `hidden beast` number, since 9 + 8 + 1 + 598 + 4 + 6 + 40 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (98159846401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 195148549 + ... + 195149051.

Almost surely, 2^98159846400 is an apocalyptic number.

98159846400 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 98159846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221189780448).

98159846400 is an abundant number, since it is smaller than the sum of its proper divisors (344219714496).

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

98159846400 is a wasteful number, since it uses less digits than its factorization.

98159846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 98159846400 in words is "ninety-eight billion, one hundred fifty-nine million, eight hundred forty-six thousand, four hundred".