1056242259072 has 384 divisors, whose sum is σ = 4080940456320. Its totient is φ = 253244620800.

The previous prime is 1056242259043. The next prime is 1056242259097. The reversal of 1056242259072 is 2709522426501.

1056242259072 is a `hidden beast` number, since 1 + 0 + 56 + 2 + 4 + 2 + 2 + 590 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1056242259072² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695172 + ... + 1611132.

It is an arithmetic number, because the mean of its divisors is an integer number (10627449105).

Almost surely, 2^{1056242259072} is an apocalyptic number.

1056242259072 is a gapful number since it is divisible by the number (12) 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 1056242259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040470228160).

1056242259072 is an abundant number, since it is smaller than the sum of its proper divisors (3024698197248).

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

1056242259072 is a wasteful number, since it uses less digits than its factorization.

1056242259072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916012 (or 915997 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1056242259072 in words is "one trillion, fifty-six billion, two hundred forty-two million, two hundred fifty-nine thousand, seventy-two".