98697807936000 has 6400 divisors, whose sum is σ = 495803034574848. Its totient is φ = 18919194624000.

The previous prime is 98697807935957. The next prime is 98697807936053. The reversal of 98697807936000 is 63970879689.

98697807936000 is a `hidden beast` number, since 9 + 8 + 6 + 9 + 7 + 8 + 0 + 7 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 98697807936000.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 248609087802 + ... + 248609088198.

Almost surely, 2^{98697807936000} is an apocalyptic number.

98697807936000 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 98697807936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247901517287424).

98697807936000 is an abundant number, since it is smaller than the sum of its proper divisors (397105226638848).

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

98697807936000 is a wasteful number, since it uses less digits than its factorization.

98697807936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 98697807936000 in words is "ninety-eight trillion, six hundred ninety-seven billion, eight hundred seven million, nine hundred thirty-six thousand".