257792916864 has 512 divisors, whose sum is σ = 867962880000. Its totient is φ = 67507292160.

The previous prime is 257792916853. The next prime is 257792916869. The reversal of 257792916864 is 468619297752.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 257792916795 and 257792916804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257792916869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77576707 + ... + 77580029.

It is an arithmetic number, because the mean of its divisors is an integer number (1695240000).

Almost surely, 2^257792916864 is an apocalyptic number.

257792916864 is a gapful number since it is divisible by the number (24) 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 257792916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433981440000).

257792916864 is an abundant number, since it is smaller than the sum of its proper divisors (610169963136).

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

257792916864 is a wasteful number, since it uses less digits than its factorization.

257792916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3385 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 66.

The spelling of 257792916864 in words is "two hundred fifty-seven billion, seven hundred ninety-two million, nine hundred sixteen thousand, eight hundred sixty-four".