113210543980800 has 4320 divisors, whose sum is σ = 518522799083520. Its totient is φ = 23799486873600.

The previous prime is 113210543980759. The next prime is 113210543980801. The reversal of 113210543980800 is 8089345012311.

113210543980800 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 10 + 543 + 98 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×113210543980800² (a number of 29 digits) contains 22 as substring.

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 (113210543980801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 417751084665 + ... + 417751084935.

Almost surely, 2^{113210543980800} is an apocalyptic number.

113210543980800 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 113210543980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259261399541760).

113210543980800 is an abundant number, since it is smaller than the sum of its proper divisors (405312255102720).

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

113210543980800 is a wasteful number, since it uses less digits than its factorization.

113210543980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 113210543980800 in words is "one hundred thirteen trillion, two hundred ten billion, five hundred forty-three million, nine hundred eighty thousand, eight hundred".