1113635128680 has 288 divisors, whose sum is σ = 3767539426560. Its totient is φ = 285154721280.

The previous prime is 1113635128673. The next prime is 1113635128741. The reversal of 1113635128680 is 868215363111.

1113635128680 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 635 + 1 + 2 + 8 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×1113635128680³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47516565 + ... + 47539995.

It is an arithmetic number, because the mean of its divisors is an integer number (13081734120).

Almost surely, 2^{1113635128680} is an apocalyptic number.

1113635128680 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 1113635128680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883769713280).

1113635128680 is an abundant number, since it is smaller than the sum of its proper divisors (2653904297880).

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

1113635128680 is a wasteful number, since it uses less digits than its factorization.

1113635128680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23601 (or 23541 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1113635128680 in words is "one trillion, one hundred thirteen billion, six hundred thirty-five million, one hundred twenty-eight thousand, six hundred eighty".