115058553984 has 192 divisors, whose sum is σ = 361465584480. Its totient is φ = 34839859200.

The previous prime is 115058553971. The next prime is 115058553991. The reversal of 115058553984 is 489355850511.

115058553984 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 5 + 8 + 553 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×115058553984⁴ (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115058553984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22642324 + ... + 22647404.

Almost surely, 2^115058553984 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 115058553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180732792240).

115058553984 is an abundant number, since it is smaller than the sum of its proper divisors (246407030496).

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

115058553984 is a wasteful number, since it uses less digits than its factorization.

115058553984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 115058553984 in words is "one hundred fifteen billion, fifty-eight million, five hundred fifty-three thousand, nine hundred eighty-four".