98639366400 has 648 divisors, whose sum is σ = 373941378720. Its totient is φ = 24737218560.

The previous prime is 98639366363. The next prime is 98639366401. The reversal of 98639366400 is 466393689.

It is a happy number.

98639366400 is a `hidden beast` number, since 98 + 6 + 3 + 93 + 66 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (98639366401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211218967 + ... + 211219433.

Almost surely, 2^98639366400 is an apocalyptic number.

98639366400 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 98639366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186970689360).

98639366400 is an abundant number, since it is smaller than the sum of its proper divisors (275302012320).

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

98639366400 is a wasteful number, since it uses less digits than its factorization.

98639366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 98639366400 in words is "ninety-eight billion, six hundred thirty-nine million, three hundred sixty-six thousand, four hundred".