1057143164000 has 768 divisors, whose sum is σ = 3464487936000. Its totient is φ = 306892800000.

The previous prime is 1057143163987. The next prime is 1057143164009. The reversal of 1057143164000 is 4613417501.

It is a super-2 number, since 2×1057143164000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057143164009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 528835001 + ... + 528836999.

It is an arithmetic number, because the mean of its divisors is an integer number (4511052000).

Almost surely, 2^{1057143164000} is an apocalyptic number.

1057143164000 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 1057143164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732243968000).

1057143164000 is an abundant number, since it is smaller than the sum of its proper divisors (2407344772000).

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

1057143164000 is a wasteful number, since it uses less digits than its factorization.

1057143164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 1057143164000 in words is "one trillion, fifty-seven billion, one hundred forty-three million, one hundred sixty-four thousand".