98676902988800 has 264 divisors, whose sum is σ = 253408731986160. Its totient is φ = 38053214617600.

The previous prime is 98676902988743. The next prime is 98676902988809. The reversal of 98676902988800 is 888920967689.

It is a super-2 number, since 2×98676902988800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is not an unprimeable number, because it can be changed into a prime (98676902988809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502506635 + ... + 502702965.

Almost surely, 2^{98676902988800} 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 98676902988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126704365993080).

98676902988800 is an abundant number, since it is smaller than the sum of its proper divisors (154731828997360).

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

98676902988800 is a wasteful number, since it uses less digits than its factorization.

98676902988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197067 (or 197044 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 80.

The spelling of 98676902988800 in words is "ninety-eight trillion, six hundred seventy-six billion, nine hundred two million, nine hundred eighty-eight thousand, eight hundred".