1057400766576 has 720 divisors, whose sum is σ = 3798381649920. Its totient is φ = 266734218240.

The previous prime is 1057400766529. The next prime is 1057400766593. The reversal of 1057400766576 is 6756670047501.

1057400766576 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 4 + 0 + 0 + 7 + 66 + 576 = 666.

It is a super-2 number, since 2×1057400766576² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8325990225 + ... + 8325990351.

Almost surely, 2^{1057400766576} is an apocalyptic number.

1057400766576 is a gapful number since it is divisible by the number (16) 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 1057400766576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899190824960).

1057400766576 is an abundant number, since it is smaller than the sum of its proper divisors (2740980883344).

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

1057400766576 is a wasteful number, since it uses less digits than its factorization.

1057400766576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 1057400766576 in words is "one trillion, fifty-seven billion, four hundred million, seven hundred sixty-six thousand, five hundred seventy-six".