257893872766 has 16 divisors (see below), whose sum is σ = 405865772928. Its totient is φ = 122741661600.

The previous prime is 257893872713. The next prime is 257893872767. The reversal of 257893872766 is 667278398752.

257893872766 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257893872766² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257893872695 and 257893872704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257893872767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34091125 + ... + 34098688.

It is an arithmetic number, because the mean of its divisors is an integer number (25366610808).

Almost surely, 2^257893872766 is an apocalyptic number.

257893872766 is a deficient number, since it is larger than the sum of its proper divisors (147971900162).

257893872766 is a wasteful number, since it uses less digits than its factorization.

257893872766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68189907.

The product of its digits is 426746880, while the sum is 70.

The spelling of 257893872766 in words is "two hundred fifty-seven billion, eight hundred ninety-three million, eight hundred seventy-two thousand, seven hundred sixty-six".