98879452560000 has 1920 divisors, whose sum is σ = 424820493926400. Its totient is φ = 21592396800000.

The previous prime is 98879452559983. The next prime is 98879452560023. The reversal of 98879452560000 is 6525497889.

98879452560000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×98879452560000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 98879452560000.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12342955995 + ... + 12342964005.

It is an arithmetic number, because the mean of its divisors is an integer number (221260673920).

Almost surely, 2^{98879452560000} is an apocalyptic number.

98879452560000 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 98879452560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212410246963200).

98879452560000 is an abundant number, since it is smaller than the sum of its proper divisors (325941041366400).

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

98879452560000 is a wasteful number, since it uses less digits than its factorization.

98879452560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 98879452560000 in words is "ninety-eight trillion, eight hundred seventy-nine billion, four hundred fifty-two million, five hundred sixty thousand".