257066274816 has 624 divisors, whose sum is σ = 845262054000. Its totient is φ = 74714185728.

The previous prime is 257066274797. The next prime is 257066274821. The reversal of 257066274816 is 618472660752.

It is a happy number.

257066274816 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 6 + 627 + 4 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 722534400 + 256343740416 = 26880^2 + 506304^2 .

It is a tau number, because it is divible by the number of its divisors (624).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736579410 + ... + 736579758.

It is an arithmetic number, because the mean of its divisors is an integer number (1354586625).

Almost surely, 2^257066274816 is an apocalyptic number.

257066274816 is a gapful number since it is divisible by the number (26) 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 257066274816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422631027000).

257066274816 is an abundant number, since it is smaller than the sum of its proper divisors (588195779184).

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

257066274816 is a wasteful number, since it uses less digits than its factorization.

257066274816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 257066274816 in words is "two hundred fifty-seven billion, sixty-six million, two hundred seventy-four thousand, eight hundred sixteen".