1113933955680 has 576 divisors, whose sum is σ = 4685260769280. Its totient is φ = 234689384448.

The previous prime is 1113933955649. The next prime is 1113933955697. The reversal of 1113933955680 is 865593393111.

1113933955680 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 9 + 3 + 3 + 9 + 556 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96832809 + ... + 96844311.

It is an arithmetic number, because the mean of its divisors is an integer number (8134133280).

Almost surely, 2^{1113933955680} is an apocalyptic number.

1113933955680 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 1113933955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342630384640).

1113933955680 is an abundant number, since it is smaller than the sum of its proper divisors (3571326813600).

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

1113933955680 is a wasteful number, since it uses less digits than its factorization.

1113933955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12283 (or 12272 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 1113933955680 in words is "one trillion, one hundred thirteen billion, nine hundred thirty-three million, nine hundred fifty-five thousand, six hundred eighty".