1118001135600 has 360 divisors, whose sum is σ = 3948643520640. Its totient is φ = 292882168320.

The previous prime is 1118001135593. The next prime is 1118001135631. The reversal of 1118001135600 is 65311008111.

It is a happy number.

1118001135600 is a `hidden beast` number, since 1 + 1 + 18 + 0 + 0 + 11 + 35 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53474749 + ... + 53495651.

It is an arithmetic number, because the mean of its divisors is an integer number (10968454224).

Almost surely, 2^{1118001135600} is an apocalyptic number.

1118001135600 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 1118001135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974321760320).

1118001135600 is an abundant number, since it is smaller than the sum of its proper divisors (2830642385040).

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

1118001135600 is a wasteful number, since it uses less digits than its factorization.

1118001135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21189 (or 21175 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 1118001135600 in words is "one trillion, one hundred eighteen billion, one million, one hundred thirty-five thousand, six hundred".