112528990800 has 300 divisors, whose sum is σ = 427615935516. Its totient is φ = 28242432000.

The previous prime is 112528990753. The next prime is 112528990807. The reversal of 112528990800 is 8099825211.

112528990800 is a `hidden beast` number, since 112 + 528 + 9 + 9 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11961359424 + 100567631376 = 109368^2 + 317124^2 .

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 (112528990807) 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, 448650 + ... + 652950.

Almost surely, 2^112528990800 is an apocalyptic number.

112528990800 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 112528990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213807967758).

112528990800 is an abundant number, since it is smaller than the sum of its proper divisors (315086944716).

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

112528990800 is a wasteful number, since it uses less digits than its factorization.

112528990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204348 (or 204328 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 112528990800 in words is "one hundred twelve billion, five hundred twenty-eight million, nine hundred ninety thousand, eight hundred".