1113983085600 has 2880 divisors, whose sum is σ = 5605813204992. Its totient is φ = 208023552000.

The previous prime is 1113983085571. The next prime is 1113983085653. The reversal of 1113983085600 is 65803893111.

It is a happy number.

1113983085600 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 9 + 8 + 30 + 8 + 5 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1950933315 + ... + 1950933885.

Almost surely, 2^{1113983085600} is an apocalyptic number.

1113983085600 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 1113983085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802906602496).

1113983085600 is an abundant number, since it is smaller than the sum of its proper divisors (4491830119392).

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

1113983085600 is a wasteful number, since it uses less digits than its factorization.

1113983085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1113983085600 in words is "one trillion, one hundred thirteen billion, nine hundred eighty-three million, eighty-five thousand, six hundred".