113575426560000 has 1300 divisors, whose sum is σ = 425301353973804. Its totient is φ = 30191616000000.

The previous prime is 113575426559993. The next prime is 113575426560091. The reversal of 113575426560000 is 65624575311.

113575426560000 is a `hidden beast` number, since 1 + 1 + 3 + 57 + 542 + 6 + 56 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 107686611910656 + 5888814649344 = 10377216^2 + 2426688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 87298559350 + ... + 87298560650.

Almost surely, 2^{113575426560000} is an apocalyptic number.

113575426560000 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 113575426560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212650676986902).

113575426560000 is an abundant number, since it is smaller than the sum of its proper divisors (311725927413804).

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

113575426560000 is an frugal number, since it uses more digits than its factorization.

113575426560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 113575426560000 in words is "one hundred thirteen trillion, five hundred seventy-five billion, four hundred twenty-six million, five hundred sixty thousand".