115167875004 has 432 divisors, whose sum is σ = 379361283840. Its totient is φ = 30111419520.

The previous prime is 115167874973. The next prime is 115167875021. The reversal of 115167875004 is 400578761511.

115167875004 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 67 + 87 + 500 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117159097 + ... + 117160079.

It is an arithmetic number, because the mean of its divisors is an integer number (878151120).

Almost surely, 2^115167875004 is an apocalyptic number.

115167875004 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 115167875004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189680641920).

115167875004 is an abundant number, since it is smaller than the sum of its proper divisors (264193408836).

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

115167875004 is a wasteful number, since it uses less digits than its factorization.

115167875004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 115167875004 in words is "one hundred fifteen billion, one hundred sixty-seven million, eight hundred seventy-five thousand, four".