98112874860 has 960 divisors, whose sum is σ = 437679728640. Its totient is φ = 17706885120.

The previous prime is 98112874859. The next prime is 98112874921. The reversal of 98112874860 is 6847821189.

98112874860 is a `hidden beast` number, since 9 + 81 + 1 + 2 + 87 + 486 + 0 = 666.

It is a super-3 number, since 3×98112874860³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98112874797 and 98112874806.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27565761 + ... + 27569319.

It is an arithmetic number, because the mean of its divisors is an integer number (455916384).

Almost surely, 2^98112874860 is an apocalyptic number.

98112874860 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 98112874860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218839864320).

98112874860 is an abundant number, since it is smaller than the sum of its proper divisors (339566853780).

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

98112874860 is a wasteful number, since it uses less digits than its factorization.

98112874860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 98112874860 in words is "ninety-eight billion, one hundred twelve million, eight hundred seventy-four thousand, eight hundred sixty".