1056257752320 has 864 divisors, whose sum is σ = 4205025377280. Its totient is φ = 243019284480.

The previous prime is 1056257752313. The next prime is 1056257752349. The reversal of 1056257752320 is 232577526501.

1056257752320 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 2 + 577 + 52 + 3 + 20 = 666.

It is a super-2 number, since 2×1056257752320² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115345182 + ... + 115354338.

It is an arithmetic number, because the mean of its divisors is an integer number (4866927520).

Almost surely, 2^{1056257752320} is an apocalyptic number.

1056257752320 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 1056257752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102512688640).

1056257752320 is an abundant number, since it is smaller than the sum of its proper divisors (3148767624960).

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

1056257752320 is a wasteful number, since it uses less digits than its factorization.

1056257752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 1056257752320 in words is "one trillion, fifty-six billion, two hundred fifty-seven million, seven hundred fifty-two thousand, three hundred twenty".