98993374560 has 768 divisors, whose sum is σ = 387109497600. Its totient is φ = 23509204992.

The previous prime is 98993374499. The next prime is 98993374561. The reversal of 98993374560 is 6547339989.

98993374560 is a `hidden beast` number, since 98 + 9 + 93 + 3 + 7 + 456 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98993374561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112876842 + ... + 112877718.

It is an arithmetic number, because the mean of its divisors is an integer number (504048825).

Almost surely, 2^98993374560 is an apocalyptic number.

98993374560 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 98993374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193554748800).

98993374560 is an abundant number, since it is smaller than the sum of its proper divisors (288116123040).

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

98993374560 is a wasteful number, since it uses less digits than its factorization.

98993374560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 98993374560 in words is "ninety-eight billion, nine hundred ninety-three million, three hundred seventy-four thousand, five hundred sixty".