115071153120 has 2592 divisors, whose sum is σ = 577853377920. Its totient is φ = 21319925760.

The previous prime is 115071153097. The next prime is 115071153143. The reversal of 115071153120 is 21351170511.

115071153120 is a `hidden beast` number, since 1 + 1 + 507 + 1 + 153 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115071153097) and next prime (115071153143).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 431 ways as a sum of consecutive naturals, for example, 6056376471 + ... + 6056376489.

It is an arithmetic number, because the mean of its divisors is an integer number (222937260).

Almost surely, 2^115071153120 is an apocalyptic number.

115071153120 is a gapful number since it is divisible by the number (10) 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 115071153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288926688960).

115071153120 is an abundant number, since it is smaller than the sum of its proper divisors (462782224800).

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

115071153120 is a wasteful number, since it uses less digits than its factorization.

115071153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 115071153120 in words is "one hundred fifteen billion, seventy-one million, one hundred fifty-three thousand, one hundred twenty".