1057295804160 has 144 divisors (see below), whose sum is σ = 3381870602880. Its totient is φ = 281517035520.

The previous prime is 1057295804141. The next prime is 1057295804219. The reversal of 1057295804160 is 614085927501.

It is a happy number.

It is a super-2 number, since 2×1057295804160² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2321655 + ... + 2739465.

It is an arithmetic number, because the mean of its divisors is an integer number (23485212520).

Almost surely, 2^{1057295804160} is an apocalyptic number.

1057295804160 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 1057295804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690935301440).

1057295804160 is an abundant number, since it is smaller than the sum of its proper divisors (2324574798720).

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

1057295804160 is an equidigital number, since it uses as much as digits as its factorization.

1057295804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418494 (or 418480 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 1057295804160 in words is "one trillion, fifty-seven billion, two hundred ninety-five million, eight hundred four thousand, one hundred sixty".