112757086800 has 300 divisors, whose sum is σ = 408694691196. Its totient is φ = 29769984000.

The previous prime is 112757086789. The next prime is 112757086807. The reversal of 112757086800 is 8680757211.

It is a happy number.

112757086800 is a `hidden beast` number, since 1 + 12 + 7 + 570 + 8 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5388147216 + 107368939584 = 73404^2 + 327672^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 (112757086807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3255172 + ... + 3289628.

Almost surely, 2^112757086800 is an apocalyptic number.

112757086800 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 112757086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204347345598).

112757086800 is an abundant number, since it is smaller than the sum of its proper divisors (295937604396).

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

112757086800 is a wasteful number, since it uses less digits than its factorization.

112757086800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34588 (or 34568 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 112757086800 in words is "one hundred twelve billion, seven hundred fifty-seven million, eighty-six thousand, eight hundred".