1057790966130 has 320 divisors, whose sum is σ = 3020170779648. Its totient is φ = 265223185920.

The previous prime is 1057790966129. The next prime is 1057790966149. The reversal of 1057790966130 is 316690977501.

It is a happy number.

1057790966130 is a `hidden beast` number, since 1 + 0 + 577 + 9 + 0 + 9 + 6 + 61 + 3 + 0 = 666.

It is a super-2 number, since 2×1057790966130² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 212704324 + ... + 212709296.

Almost surely, 2^{1057790966130} is an apocalyptic number.

1057790966130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057790966130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510085389824).

1057790966130 is an abundant number, since it is smaller than the sum of its proper divisors (1962379813518).

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

1057790966130 is a wasteful number, since it uses less digits than its factorization.

1057790966130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 1057790966130 in words is "one trillion, fifty-seven billion, seven hundred ninety million, nine hundred sixty-six thousand, one hundred thirty".