1057706496000 has 1872 divisors, whose sum is σ = 4807457001984. Its totient is φ = 218972160000.

The previous prime is 1057706495999. The next prime is 1057706496019. The reversal of 1057706496000 is 6946077501.

It is a happy number.

1057706496000 is a `hidden beast` number, since 10 + 577 + 0 + 6 + 4 + 9 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×1057706496000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3902975865 + ... + 3902976135.

Almost surely, 2^{1057706496000} is an apocalyptic number.

1057706496000 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 1057706496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403728500992).

1057706496000 is an abundant number, since it is smaller than the sum of its proper divisors (3749750505984).

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

1057706496000 is a wasteful number, since it uses less digits than its factorization.

1057706496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1057706496000 in words is "one trillion, fifty-seven billion, seven hundred six million, four hundred ninety-six thousand".