115428556800 has 684 divisors, whose sum is σ = 439478334880. Its totient is φ = 28877783040.

The previous prime is 115428556739. The next prime is 115428556807. The reversal of 115428556800 is 8655824511.

115428556800 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 2 + 85 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (684).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115428556807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1120665549 + ... + 1120665651.

Almost surely, 2^115428556800 is an apocalyptic number.

115428556800 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 115428556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219739167440).

115428556800 is an abundant number, since it is smaller than the sum of its proper divisors (324049778080).

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

115428556800 is an equidigital number, since it uses as much as digits as its factorization.

115428556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 115428556800 in words is "one hundred fifteen billion, four hundred twenty-eight million, five hundred fifty-six thousand, eight hundred".