1057576621024 has 192 divisors, whose sum is σ = 2749818419712. Its totient is φ = 387628646400.

The previous prime is 1057576621021. The next prime is 1057576621039. The reversal of 1057576621024 is 4201266757501.

It is a super-2 number, since 2×1057576621024² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057576621021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124109884 + ... + 124118404.

It is an arithmetic number, because the mean of its divisors is an integer number (14321970936).

Almost surely, 2^{1057576621024} is an apocalyptic number.

1057576621024 is a gapful number since it is divisible by the number (14) 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 1057576621024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374909209856).

1057576621024 is an abundant number, since it is smaller than the sum of its proper divisors (1692241798688).

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

1057576621024 is a wasteful number, since it uses less digits than its factorization.

1057576621024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11529 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 1057576621024 in words is "one trillion, fifty-seven billion, five hundred seventy-six million, six hundred twenty-one thousand, twenty-four".