115167628800 has 1440 divisors, whose sum is σ = 516728070144. Its totient is φ = 23887872000.

The previous prime is 115167628759. The next prime is 115167628813. The reversal of 115167628800 is 8826761511.

115167628800 is a `hidden beast` number, since 1 + 1 + 5 + 16 + 7 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 424972665 + ... + 424972935.

Almost surely, 2^115167628800 is an apocalyptic number.

115167628800 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 115167628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258364035072).

115167628800 is an abundant number, since it is smaller than the sum of its proper divisors (401560441344).

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

115167628800 is a wasteful number, since it uses less digits than its factorization.

115167628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 115167628800 in words is "one hundred fifteen billion, one hundred sixty-seven million, six hundred twenty-eight thousand, eight hundred".