113765783040 has 800 divisors, whose sum is σ = 501588521280. Its totient is φ = 23999348736.

The previous prime is 113765783003. The next prime is 113765783051. The reversal of 113765783040 is 40387567311.

113765783040 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 6 + 578 + 30 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18866746 + ... + 18872774.

Almost surely, 2^113765783040 is an apocalyptic number.

113765783040 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 113765783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250794260640).

113765783040 is an abundant number, since it is smaller than the sum of its proper divisors (387822738240).

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

113765783040 is an equidigital number, since it uses as much as digits as its factorization.

113765783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 113765783040 in words is "one hundred thirteen billion, seven hundred sixty-five million, seven hundred eighty-three thousand, forty".