1056566276544 has 224 divisors, whose sum is σ = 2963635944192. Its totient is φ = 331748352000.

The previous prime is 1056566276527. The next prime is 1056566276561. The reversal of 1056566276544 is 4456726656501.

It is an interprime number because it is at equal distance from previous prime (1056566276527) and next prime (1056566276561).

It is a super-2 number, since 2×1056566276544² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38141739 + ... + 38169429.

It is an arithmetic number, because the mean of its divisors is an integer number (13230517608).

Almost surely, 2^{1056566276544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056566276544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481817972096).

1056566276544 is an abundant number, since it is smaller than the sum of its proper divisors (1907069667648).

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

1056566276544 is a wasteful number, since it uses less digits than its factorization.

1056566276544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27915 (or 27905 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 1056566276544 in words is "one trillion, fifty-six billion, five hundred sixty-six million, two hundred seventy-six thousand, five hundred forty-four".