1100665379556 has 120 divisors (see below), whose sum is σ = 2945655266400. Its totient is φ = 358187816448.

The previous prime is 1100665379537. The next prime is 1100665379573. The reversal of 1100665379556 is 6559735660011.

1100665379556 is a `hidden beast` number, since 1 + 10 + 0 + 6 + 6 + 5 + 3 + 79 + 556 = 666.

It is a super-2 number, since 2×1100665379556² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31566420 + ... + 31601268.

It is an arithmetic number, because the mean of its divisors is an integer number (24547127220).

Almost surely, 2^{1100665379556} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100665379556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472827633200).

1100665379556 is an abundant number, since it is smaller than the sum of its proper divisors (1844989886844).

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

1100665379556 is a wasteful number, since it uses less digits than its factorization.

1100665379556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37175 (or 37164 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 1100665379556 in words is "one trillion, one hundred billion, six hundred sixty-five million, three hundred seventy-nine thousand, five hundred fifty-six".