115054732800 has 1200 divisors, whose sum is σ = 495100311552. Its totient is φ = 25845350400.

The previous prime is 115054732799. The next prime is 115054732811. The reversal of 115054732800 is 8237450511.

115054732800 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 547 + 32 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 602380705 + ... + 602380895.

Almost surely, 2^115054732800 is an apocalyptic number.

115054732800 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 115054732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247550155776).

115054732800 is an abundant number, since it is smaller than the sum of its proper divisors (380045578752).

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

115054732800 is an equidigital number, since it uses as much as digits as its factorization.

115054732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 115054732800 in words is "one hundred fifteen billion, fifty-four million, seven hundred thirty-two thousand, eight hundred".