115370409369600 has 9072 divisors, whose sum is σ = 605433924373824. Its totient is φ = 21581896089600.

The previous prime is 115370409369559. The next prime is 115370409369637. The reversal of 115370409369600 is 6963904073511.

115370409369600 is a `hidden beast` number, since 1 + 1 + 53 + 70 + 409 + 3 + 69 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 5016104755189 + ... + 5016104755211.

It is an arithmetic number, because the mean of its divisors is an integer number (66736543692).

Almost surely, 2^{115370409369600} is an apocalyptic number.

115370409369600 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 115370409369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302716962186912).

115370409369600 is an abundant number, since it is smaller than the sum of its proper divisors (490063515004224).

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

115370409369600 is a wasteful number, since it uses less digits than its factorization.

115370409369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 115370409369600 in words is "one hundred fifteen trillion, three hundred seventy billion, four hundred nine million, three hundred sixty-nine thousand, six hundred".