115488775584 has 432 divisors, whose sum is σ = 407905243200. Its totient is φ = 30348324864.

The previous prime is 115488775543. The next prime is 115488775607. The reversal of 115488775584 is 485577884511.

115488775584 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 8 + 8 + 77 + 558 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142754572 + ... + 142755380.

It is an arithmetic number, because the mean of its divisors is an integer number (944225100).

Almost surely, 2^115488775584 is an apocalyptic number.

115488775584 is a gapful number since it is divisible by the number (14) 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 115488775584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203952621600).

115488775584 is an abundant number, since it is smaller than the sum of its proper divisors (292416467616).

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

115488775584 is a wasteful number, since it uses less digits than its factorization.

115488775584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1253 counting only the distinct ones).

The product of its digits is 50176000, while the sum is 63.

The spelling of 115488775584 in words is "one hundred fifteen billion, four hundred eighty-eight million, seven hundred seventy-five thousand, five hundred eighty-four".