115652440800 has 864 divisors, whose sum is σ = 459122489280. Its totient is φ = 27198259200.

The previous prime is 115652440777. The next prime is 115652440819. The reversal of 115652440800 is 8044256511.

It is a happy number.

115652440800 is a `hidden beast` number, since 1 + 1 + 56 + 524 + 4 + 0 + 80 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 371872645 + ... + 371872955.

It is an arithmetic number, because the mean of its divisors is an integer number (531391770).

Almost surely, 2^115652440800 is an apocalyptic number.

115652440800 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 115652440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229561244640).

115652440800 is an abundant number, since it is smaller than the sum of its proper divisors (343470048480).

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

115652440800 is a wasteful number, since it uses less digits than its factorization.

115652440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 115652440800 in words is "one hundred fifteen billion, six hundred fifty-two million, four hundred forty thousand, eight hundred".