1055965800960 has 1280 divisors, whose sum is σ = 4429259366400. Its totient is φ = 233481830400.

The previous prime is 1055965800947. The next prime is 1055965800977. The reversal of 1055965800960 is 690085695501.

1055965800960 is a `hidden beast` number, since 1 + 0 + 5 + 59 + 6 + 580 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×1055965800960² (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 a junction number, because it is equal to n+sod(n) for n = 1055965800897 and 1055965800906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2026805500 + ... + 2026806020.

It is an arithmetic number, because the mean of its divisors is an integer number (3460358880).

Almost surely, 2^{1055965800960} is an apocalyptic number.

1055965800960 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 1055965800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214629683200).

1055965800960 is an abundant number, since it is smaller than the sum of its proper divisors (3373293565440).

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

1055965800960 is an equidigital number, since it uses as much as digits as its factorization.

1055965800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 1055965800960 in words is "one trillion, fifty-five billion, nine hundred sixty-five million, eight hundred thousand, nine hundred sixty".