1113625885680 has 960 divisors, whose sum is σ = 5196974515200. Its totient is φ = 206324858880.

The previous prime is 1113625885679. The next prime is 1113625885703. The reversal of 1113625885680 is 865885263111.

1113625885680 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 6 + 2 + 588 + 56 + 8 + 0 = 666.

It is a super-2 number, since 2×1113625885680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 17876026 + ... + 17938214.

It is an arithmetic number, because the mean of its divisors is an integer number (5413515120).

Almost surely, 2^{1113625885680} is an apocalyptic number.

1113625885680 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 1113625885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598487257600).

1113625885680 is an abundant number, since it is smaller than the sum of its proper divisors (4083348629520).

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

1113625885680 is a wasteful number, since it uses less digits than its factorization.

1113625885680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62262 (or 62253 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1113625885680 in words is "one trillion, one hundred thirteen billion, six hundred twenty-five million, eight hundred eighty-five thousand, six hundred eighty".