1057143772000 has 192 divisors, whose sum is σ = 2683053434880. Its totient is φ = 408932544000.

The previous prime is 1057143771979. The next prime is 1057143772019. The reversal of 1057143772000 is 2773417501.

It is a happy number.

1057143772000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057143772000² (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 31 ways as a sum of consecutive naturals, for example, 304914267 + ... + 304917733.

It is an arithmetic number, because the mean of its divisors is an integer number (13974236640).

Almost surely, 2^{1057143772000} is an apocalyptic number.

1057143772000 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 1057143772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341526717440).

1057143772000 is an abundant number, since it is smaller than the sum of its proper divisors (1625909662880).

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

1057143772000 is a wasteful number, since it uses less digits than its factorization.

1057143772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The spelling of 1057143772000 in words is "one trillion, fifty-seven billion, one hundred forty-three million, seven hundred seventy-two thousand".