113955753600 has 576 divisors, whose sum is σ = 440734421400. Its totient is φ = 28035072000.

The previous prime is 113955753577. The next prime is 113955753623. The reversal of 113955753600 is 6357559311.

113955753600 is a `hidden beast` number, since 1 + 1 + 39 + 5 + 5 + 7 + 5 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (113955753577) and next prime (113955753623).

It can be written as a sum of positive squares in 12 ways, for example, as 73901335104 + 40054418496 = 271848^2 + 200136^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63272700 + ... + 63274500.

Almost surely, 2^113955753600 is an apocalyptic number.

113955753600 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 113955753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220367210700).

113955753600 is an abundant number, since it is smaller than the sum of its proper divisors (326778667800).

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

113955753600 is a wasteful number, since it uses less digits than its factorization.

113955753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The spelling of 113955753600 in words is "one hundred thirteen billion, nine hundred fifty-five million, seven hundred fifty-three thousand, six hundred".