1057572074640 has 160 divisors (see below), whose sum is σ = 3324805056000. Its totient is φ = 278057113600.

The previous prime is 1057572074639. The next prime is 1057572074653. The reversal of 1057572074640 is 464702757501.

It is a super-2 number, since 2×1057572074640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1057572074640.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5702086 + ... + 5884634.

It is an arithmetic number, because the mean of its divisors is an integer number (20780031600).

Almost surely, 2^{1057572074640} is an apocalyptic number.

1057572074640 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 1057572074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662402528000).

1057572074640 is an abundant number, since it is smaller than the sum of its proper divisors (2267232981360).

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

1057572074640 is a wasteful number, since it uses less digits than its factorization.

1057572074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182905 (or 182899 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 1057572074640 in words is "one trillion, fifty-seven billion, five hundred seventy-two million, seventy-four thousand, six hundred forty".