113776557120 has 672 divisors, whose sum is σ = 422764427520. Its totient is φ = 28798156800.

The previous prime is 113776557091. The next prime is 113776557127. The reversal of 113776557120 is 21755677311.

113776557120 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 76 + 5 + 571 + 2 + 0 = 666.

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 (113776557127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 589515744 + ... + 589515936.

Almost surely, 2^113776557120 is an apocalyptic number.

113776557120 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 113776557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211382213760).

113776557120 is an abundant number, since it is smaller than the sum of its proper divisors (308987870400).

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

113776557120 is a wasteful number, since it uses less digits than its factorization.

113776557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 113776557120 in words is "one hundred thirteen billion, seven hundred seventy-six million, five hundred fifty-seven thousand, one hundred twenty".