1057579244880 has 320 divisors, whose sum is σ = 3535749888000. Its totient is φ = 260636092416.

The previous prime is 1057579244857. The next prime is 1057579244881. The reversal of 1057579244880 is 884429757501.

1057579244880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057579244880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057579244881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180194586 + ... + 180200454.

It is an arithmetic number, because the mean of its divisors is an integer number (11049218400).

Almost surely, 2^{1057579244880} is an apocalyptic number.

1057579244880 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 1057579244880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767874944000).

1057579244880 is an abundant number, since it is smaller than the sum of its proper divisors (2478170643120).

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

1057579244880 is a wasteful number, since it uses less digits than its factorization.

1057579244880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 1057579244880 in words is "one trillion, fifty-seven billion, five hundred seventy-nine million, two hundred forty-four thousand, eight hundred eighty".