1056110065920 has 864 divisors, whose sum is σ = 4652480851200. Its totient is φ = 215137714176.

The previous prime is 1056110065903. The next prime is 1056110065961. The reversal of 1056110065920 is 295600116501.

1056110065920 is a `hidden beast` number, since 1 + 0 + 5 + 61 + 1 + 0 + 0 + 6 + 592 + 0 = 666.

It is a super-2 number, since 2×1056110065920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30383911 + ... + 30418649.

It is an arithmetic number, because the mean of its divisors is an integer number (5384815800).

Almost surely, 2^{1056110065920} is an apocalyptic number.

1056110065920 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 1056110065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326240425600).

1056110065920 is an abundant number, since it is smaller than the sum of its proper divisors (3596370785280).

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

1056110065920 is a wasteful number, since it uses less digits than its factorization.

1056110065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34815 (or 34798 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 1056110065920 in words is "one trillion, fifty-six billion, one hundred ten million, sixty-five thousand, nine hundred twenty".