113275401177600 has 960 divisors, whose sum is σ = 446435297383680. Its totient is φ = 28029380198400.

The previous prime is 113275401177553. The next prime is 113275401177607. The reversal of 113275401177600 is 6771104572311.

113275401177600 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 75 + 401 + 177 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (113275401177607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417003424 + ... + 417274976.

It is an arithmetic number, because the mean of its divisors is an integer number (465036768108).

Almost surely, 2^{113275401177600} is an apocalyptic number.

113275401177600 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 113275401177600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223217648691840).

113275401177600 is an abundant number, since it is smaller than the sum of its proper divisors (333159896206080).

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

113275401177600 is a wasteful number, since it uses less digits than its factorization.

113275401177600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271678 (or 271651 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 113275401177600 in words is "one hundred thirteen trillion, two hundred seventy-five billion, four hundred one million, one hundred seventy-seven thousand, six hundred".