99994876684560 has 1280 divisors, whose sum is σ = 429334440837120. Its totient is φ = 21016430346240.

The previous prime is 99994876684387. The next prime is 99994876684567. The reversal of 99994876684560 is 6548667849999.

99994876684560 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 487 + 6 + 68 + 4 + 5 + 60 = 666.

It is a super-2 number, since 2×99994876684560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is not an unprimeable number, because it can be changed into a prime (99994876684567) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2557197969 + ... + 2557237071.

It is an arithmetic number, because the mean of its divisors is an integer number (335417531904).

Almost surely, 2^{99994876684560} is an apocalyptic number.

99994876684560 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 99994876684560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214667220418560).

99994876684560 is an abundant number, since it is smaller than the sum of its proper divisors (329339564152560).

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

99994876684560 is a wasteful number, since it uses less digits than its factorization.

99994876684560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39653 (or 39641 counting only the distinct ones).

The product of its (nonzero) digits is 50791587840, while the sum is 90.

The spelling of 99994876684560 in words is "ninety-nine trillion, nine hundred ninety-four billion, eight hundred seventy-six million, six hundred eighty-four thousand, five hundred sixty".