1057122725456 has 80 divisors (see below), whose sum is σ = 2348766336000. Its totient is φ = 451506714624.

The previous prime is 1057122725341. The next prime is 1057122725459. The reversal of 1057122725456 is 6545272217501.

It is a happy number.

It is a super-2 number, since 2×1057122725456² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057122725456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057122725459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83212001 + ... + 83224703.

It is an arithmetic number, because the mean of its divisors is an integer number (29359579200).

Almost surely, 2^{1057122725456} is an apocalyptic number.

1057122725456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057122725456 is an abundant number, since it is smaller than the sum of its proper divisors (1291643610544).

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

1057122725456 is a wasteful number, since it uses less digits than its factorization.

1057122725456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15196 (or 15190 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 47.

The spelling of 1057122725456 in words is "one trillion, fifty-seven billion, one hundred twenty-two million, seven hundred twenty-five thousand, four hundred fifty-six".