1100056630320 has 160 divisors (see below), whose sum is σ = 3881500943040. Its totient is φ = 286193571840.

The previous prime is 1100056630307. The next prime is 1100056630327. The reversal of 1100056630320 is 230366500011.

1100056630320 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 5 + 6 + 630 + 3 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1100056630327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6122239 + ... + 6299358.

It is an arithmetic number, because the mean of its divisors is an integer number (24259380894).

Almost surely, 2^{1100056630320} is an apocalyptic number.

1100056630320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100056630320 is an abundant number, since it is smaller than the sum of its proper divisors (2781444312720).

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

1100056630320 is a wasteful number, since it uses less digits than its factorization.

1100056630320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12421660 (or 12421648 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 1100056630320 in words is "one trillion, one hundred billion, fifty-six million, six hundred thirty thousand, three hundred twenty".