1056256205160 has 512 divisors, whose sum is σ = 3550673387520. Its totient is φ = 249719500800.

The previous prime is 1056256205149. The next prime is 1056256205233. The reversal of 1056256205160 is 615026526501.

It is a happy number.

It is a super-2 number, since 2×1056256205160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1723093014 + ... + 1723093626.

It is an arithmetic number, because the mean of its divisors is an integer number (6934908960).

Almost surely, 2^{1056256205160} is an apocalyptic number.

1056256205160 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 1056256205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775336693760).

1056256205160 is an abundant number, since it is smaller than the sum of its proper divisors (2494417182360).

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

1056256205160 is a wasteful number, since it uses less digits than its factorization.

1056256205160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 1056256205160 in words is "one trillion, fifty-six billion, two hundred fifty-six million, two hundred five thousand, one hundred sixty".