1056960576000 has 2880 divisors, whose sum is σ = 4900475099520. Its totient is φ = 225740390400.

The previous prime is 1056960575989. The next prime is 1056960576013. The reversal of 1056960576000 is 6750696501.

1056960576000 is a `hidden beast` number, since 10 + 5 + 6 + 9 + 60 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1056960576000² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14478911964 + ... + 14478912036.

It is an arithmetic number, because the mean of its divisors is an integer number (1701553854).

Almost surely, 2^{1056960576000} is an apocalyptic number.

1056960576000 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 1056960576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450237549760).

1056960576000 is an abundant number, since it is smaller than the sum of its proper divisors (3843514523520).

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

1056960576000 is an frugal number, since it uses more digits than its factorization.

1056960576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 1056960576000 in words is "one trillion, fifty-six billion, nine hundred sixty million, five hundred seventy-six thousand".