98538392160 has 960 divisors, whose sum is σ = 398337730560. Its totient is φ = 22754856960.

The previous prime is 98538392149. The next prime is 98538392201. The reversal of 98538392160 is 6129383589.

98538392160 is a `hidden beast` number, since 9 + 8 + 538 + 3 + 92 + 16 + 0 = 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 = 98538392097 and 98538392106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 228627145 + ... + 228627575.

It is an arithmetic number, because the mean of its divisors is an integer number (414935136).

Almost surely, 2^98538392160 is an apocalyptic number.

98538392160 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 98538392160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199168865280).

98538392160 is an abundant number, since it is smaller than the sum of its proper divisors (299799338400).

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

98538392160 is a wasteful number, since it uses less digits than its factorization.

98538392160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 98538392160 in words is "ninety-eight billion, five hundred thirty-eight million, three hundred ninety-two thousand, one hundred sixty".