1057973865760 has 384 divisors, whose sum is σ = 3135283200000. Its totient is φ = 329155964928.

The previous prime is 1057973865757. The next prime is 1057973865811. The reversal of 1057973865760 is 675683797501.

It is a super-2 number, since 2×1057973865760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057973865692 and 1057973865701.

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, 78367491 + ... + 78380989.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800000).

Almost surely, 2^{1057973865760} is an apocalyptic number.

1057973865760 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 1057973865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600000).

1057973865760 is an abundant number, since it is smaller than the sum of its proper divisors (2077309334240).

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

1057973865760 is a wasteful number, since it uses less digits than its factorization.

1057973865760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13696 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 64.

The spelling of 1057973865760 in words is "one trillion, fifty-seven billion, nine hundred seventy-three million, eight hundred sixty-five thousand, seven hundred sixty".