1116205608960 has 1144 divisors, whose sum is σ = 4387832727264. Its totient is φ = 270888468480.

The previous prime is 1116205608953. The next prime is 1116205608977. The reversal of 1116205608960 is 698065026111.

1116205608960 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 2 + 0 + 560 + 89 + 6 + 0 = 666.

It is a super-2 number, since 2×1116205608960² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 15721205725 + ... + 15721205795.

Almost surely, 2^{1116205608960} is an apocalyptic number.

1116205608960 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 1116205608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193916363632).

1116205608960 is an abundant number, since it is smaller than the sum of its proper divisors (3271627118304).

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

1116205608960 is an frugal number, since it uses more digits than its factorization.

1116205608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 94 counting only the distinct ones).

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

The spelling of 1116205608960 in words is "one trillion, one hundred sixteen billion, two hundred five million, six hundred eight thousand, nine hundred sixty".