1056833726382 has 256 divisors, whose sum is σ = 2801453875200. Its totient is φ = 289028321280.

The previous prime is 1056833726371. The next prime is 1056833726383. The reversal of 1056833726382 is 2836273386501.

It is a happy number.

1056833726382 is a `hidden beast` number, since 1 + 0 + 568 + 3 + 3 + 72 + 6 + 3 + 8 + 2 = 666.

It is a super-2 number, since 2×1056833726382² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056833726383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 489047382 + ... + 489049542.

It is an arithmetic number, because the mean of its divisors is an integer number (10943179200).

Almost surely, 2^{1056833726382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056833726382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400726937600).

1056833726382 is an abundant number, since it is smaller than the sum of its proper divisors (1744620148818).

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

1056833726382 is a wasteful number, since it uses less digits than its factorization.

1056833726382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1056833726382 in words is "one trillion, fifty-six billion, eight hundred thirty-three million, seven hundred twenty-six thousand, three hundred eighty-two".