1057437660720 has 320 divisors, whose sum is σ = 3791483043840. Its totient is φ = 238800436224.

The previous prime is 1057437660703. The next prime is 1057437660733. The reversal of 1057437660720 is 270667347501.

It is a super-2 number, since 2×1057437660720² (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 1057437660720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68840401 + ... + 68855759.

It is an arithmetic number, because the mean of its divisors is an integer number (11848384512).

Almost surely, 2^{1057437660720} is an apocalyptic number.

1057437660720 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 1057437660720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895741521920).

1057437660720 is an abundant number, since it is smaller than the sum of its proper divisors (2734045383120).

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

1057437660720 is a wasteful number, since it uses less digits than its factorization.

1057437660720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15872 (or 15866 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 1057437660720 in words is "one trillion, fifty-seven billion, four hundred thirty-seven million, six hundred sixty thousand, seven hundred twenty".