1057877648256 has 128 divisors (see below), whose sum is σ = 3301244231040. Its totient is φ = 295909816320.

The previous prime is 1057877648227. The next prime is 1057877648263. The reversal of 1057877648256 is 6528467787501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1057877648256² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9577570 + ... + 9687393.

It is an arithmetic number, because the mean of its divisors is an integer number (25790970555).

Almost surely, 2^{1057877648256} is an apocalyptic number.

1057877648256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057877648256 is an abundant number, since it is smaller than the sum of its proper divisors (2243366582784).

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

1057877648256 is a wasteful number, since it uses less digits than its factorization.

1057877648256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19265004 (or 19264992 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 66.

The spelling of 1057877648256 in words is "one trillion, fifty-seven billion, eight hundred seventy-seven million, six hundred forty-eight thousand, two hundred fifty-six".