1057145886976 has 81 divisors (see below), whose sum is σ = 2127944147371. Its totient is φ = 524155899392.

The previous prime is 1057145886949. The next prime is 1057145886977. The reversal of 1057145886976 is 6796885417501.

The square root of 1057145886976 is 1028176.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1057145886976² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057145886977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2944695885 + ... + 2944696243.

Almost surely, 2^{1057145886976} is an apocalyptic number.

1057145886976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1057145886976 is the 1028176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057145886976

1057145886976 is an abundant number, since it is smaller than the sum of its proper divisors (1070798260395).

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

1057145886976 is an frugal number, since it uses more digits than its factorization.

1057145886976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 67.

The spelling of 1057145886976 in words is "one trillion, fifty-seven billion, one hundred forty-five million, eight hundred eighty-six thousand, nine hundred seventy-six".