98678684160 has 1920 divisors, whose sum is σ = 452995006464. Its totient is φ = 20065812480.

The previous prime is 98678684123. The next prime is 98678684173. The reversal of 98678684160 is 6148687689.

98678684160 is a `hidden beast` number, since 98 + 6 + 78 + 68 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2294853099 + ... + 2294853141.

Almost surely, 2^98678684160 is an apocalyptic number.

98678684160 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 98678684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226497503232).

98678684160 is an abundant number, since it is smaller than the sum of its proper divisors (354316322304).

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

98678684160 is a wasteful number, since it uses less digits than its factorization.

98678684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 98678684160 in words is "ninety-eight billion, six hundred seventy-eight million, six hundred eighty-four thousand, one hundred sixty".