113538276720 has 800 divisors, whose sum is σ = 466295512320. Its totient is φ = 25291284480.

The previous prime is 113538276713. The next prime is 113538276727. The reversal of 113538276720 is 27672835311.

113538276720 is a `hidden beast` number, since 1 + 1 + 353 + 8 + 276 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (113538276713) and next prime (113538276727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113538276727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52104591 + ... + 52106769.

Almost surely, 2^113538276720 is an apocalyptic number.

113538276720 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 113538276720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233147756160).

113538276720 is an abundant number, since it is smaller than the sum of its proper divisors (352757235600).

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

113538276720 is a wasteful number, since it uses less digits than its factorization.

113538276720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2260 counting only the distinct ones).

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

The spelling of 113538276720 in words is "one hundred thirteen billion, five hundred thirty-eight million, two hundred seventy-six thousand, seven hundred twenty".