115228801800 has 756 divisors, whose sum is σ = 470964721005. Its totient is φ = 26130625920.

The previous prime is 115228801799. The next prime is 115228801823. The reversal of 115228801800 is 8108822511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 112924225764 + 2304576036 = 336042^2 + 48006^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=240030.

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

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 188 ways as a sum of consecutive naturals, for example, 907313337 + ... + 907313463.

Almost surely, 2^115228801800 is an apocalyptic number.

115228801800 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 115228801800

115228801800 is an abundant number, since it is smaller than the sum of its proper divisors (355735919205).

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

115228801800 is an equidigital number, since it uses as much as digits as its factorization.

115228801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 115228801800 in words is "one hundred fifteen billion, two hundred twenty-eight million, eight hundred one thousand, eight hundred".