113583850793280 has 2240 divisors, whose sum is σ = 526644511506432. Its totient is φ = 22618072350720.

The previous prime is 113583850793261. The next prime is 113583850793323. The reversal of 113583850793280 is 82397058385311.

113583850793280 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 8 + 38 + 507 + 93 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×113583850793280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2199208417 + ... + 2199260063.

Almost surely, 2^{113583850793280} is an apocalyptic number.

113583850793280 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 113583850793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263322255753216).

113583850793280 is an abundant number, since it is smaller than the sum of its proper divisors (413060660713152).

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

113583850793280 is a wasteful number, since it uses less digits than its factorization.

113583850793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51754 (or 51735 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 113583850793280 in words is "one hundred thirteen trillion, five hundred eighty-three billion, eight hundred fifty million, seven hundred ninety-three thousand, two hundred eighty".