115984687104 has 896 divisors, whose sum is σ = 427163788800. Its totient is φ = 30576476160.

The previous prime is 115984687061. The next prime is 115984687171. The reversal of 115984687104 is 401786489511.

115984687104 is a `hidden beast` number, since 1 + 1 + 598 + 46 + 8 + 7 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×115984687104² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 600956832 + ... + 600957024.

It is an arithmetic number, because the mean of its divisors is an integer number (476745300).

Almost surely, 2^115984687104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115984687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213581894400).

115984687104 is an abundant number, since it is smaller than the sum of its proper divisors (311179101696).

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

115984687104 is a wasteful number, since it uses less digits than its factorization.

115984687104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 115984687104 in words is "one hundred fifteen billion, nine hundred eighty-four million, six hundred eighty-seven thousand, one hundred four".