1057701590400 has 768 divisors, whose sum is σ = 4360645900800. Its totient is φ = 219370291200.

The previous prime is 1057701590399. The next prime is 1057701590417. The reversal of 1057701590400 is 40951077501.

It is a super-2 number, since 2×1057701590400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51532140 + ... + 51552660.

It is an arithmetic number, because the mean of its divisors is an integer number (5677924350).

Almost surely, 2^{1057701590400} is an apocalyptic number.

1057701590400 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 1057701590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180322950400).

1057701590400 is an abundant number, since it is smaller than the sum of its proper divisors (3302944310400).

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

1057701590400 is a wasteful number, since it uses less digits than its factorization.

1057701590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20627 (or 20610 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The spelling of 1057701590400 in words is "one trillion, fifty-seven billion, seven hundred one million, five hundred ninety thousand, four hundred".