1113810264000 has 2240 divisors, whose sum is σ = 4958514392832. Its totient is φ = 241532928000.

The previous prime is 1113810263987. The next prime is 1113810264011. The reversal of 1113810264000 is 4620183111.

It is a happy number.

1113810264000 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 8 + 10 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9856727944 + ... + 9856728056.

Almost surely, 2^{1113810264000} is an apocalyptic number.

1113810264000 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 1113810264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479257196416).

1113810264000 is an abundant number, since it is smaller than the sum of its proper divisors (3844704128832).

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

1113810264000 is a wasteful number, since it uses less digits than its factorization.

1113810264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1113810264000 in words is "one trillion, one hundred thirteen billion, eight hundred ten million, two hundred sixty-four thousand".