1057657057408 has 128 divisors (see below), whose sum is σ = 2597818677120. Its totient is φ = 418568257536.

The previous prime is 1057657057403. The next prime is 1057657057427. The reversal of 1057657057408 is 8047507567501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1057657057408² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057657057403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152235 + ... + 1462357.

It is an arithmetic number, because the mean of its divisors is an integer number (20295458415).

Almost surely, 2^{1057657057408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057657057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298909338560).

1057657057408 is an abundant number, since it is smaller than the sum of its proper divisors (1540161619712).

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

1057657057408 is a wasteful number, since it uses less digits than its factorization.

1057657057408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310214 (or 1310202 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 55.

The spelling of 1057657057408 in words is "one trillion, fifty-seven billion, six hundred fifty-seven million, fifty-seven thousand, four hundred eight".