98716094400 has 672 divisors, whose sum is σ = 408460285440. Its totient is φ = 20275200000.

The previous prime is 98716094359. The next prime is 98716094431. The reversal of 98716094400 is 449061789.

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

It is a super-2 number, since 2×98716094400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 98716094400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32892900 + ... + 32895900.

Almost surely, 2^98716094400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98716094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204230142720).

98716094400 is an abundant number, since it is smaller than the sum of its proper divisors (309744191040).

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

98716094400 is a wasteful number, since it uses less digits than its factorization.

98716094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 98716094400 in words is "ninety-eight billion, seven hundred sixteen million, ninety-four thousand, four hundred".