98676039798000 has 1920 divisors, whose sum is σ = 430881861795840. Its totient is φ = 20559329280000.

The previous prime is 98676039797963. The next prime is 98676039798019. The reversal of 98676039798000 is 89793067689.

98676039798000 is a `hidden beast` number, since 9 + 8 + 6 + 7 + 603 + 9 + 7 + 9 + 8 + 0 + 0 + 0 = 666.

98676039798000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 98676039798000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4644223377 + ... + 4644244623.

It is an arithmetic number, because the mean of its divisors is an integer number (224417636352).

Almost surely, 2^{98676039798000} is an apocalyptic number.

98676039798000 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 98676039798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215440930897920).

98676039798000 is an abundant number, since it is smaller than the sum of its proper divisors (332205821997840).

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

98676039798000 is a wasteful number, since it uses less digits than its factorization.

98676039798000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21384 (or 21365 counting only the distinct ones).

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

The spelling of 98676039798000 in words is "ninety-eight trillion, six hundred seventy-six billion, thirty-nine million, seven hundred ninety-eight thousand".