112825610370 has 320 divisors, whose sum is σ = 356196880512. Its totient is φ = 25318656000.

The previous prime is 112825610369. The next prime is 112825610393. The reversal of 112825610370 is 73016528211.

112825610370 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 5 + 610 + 37 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9233565 + ... + 9245775.

Almost surely, 2^112825610370 is an apocalyptic number.

112825610370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112825610370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178098440256).

112825610370 is an abundant number, since it is smaller than the sum of its proper divisors (243371270142).

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

112825610370 is a wasteful number, since it uses less digits than its factorization.

112825610370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12319 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 112825610370 in words is "one hundred twelve billion, eight hundred twenty-five million, six hundred ten thousand, three hundred seventy".