257240039056 has 960 divisors, whose sum is σ = 763666677760. Its totient is φ = 81293414400.

The previous prime is 257240038981. The next prime is 257240039083. The reversal of 257240039056 is 650930042752.

It is a super-2 number, since 2×257240039056² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3839403535 + ... + 3839403601.

Almost surely, 2^257240039056 is an apocalyptic number.

257240039056 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 257240039056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381833338880).

257240039056 is an abundant number, since it is smaller than the sum of its proper divisors (506426638704).

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

257240039056 is a wasteful number, since it uses less digits than its factorization.

257240039056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

It can be divided in two parts, 2572400 and 39056, that added together give a square (2611456 = 1616²).

The spelling of 257240039056 in words is "two hundred fifty-seven billion, two hundred forty million, thirty-nine thousand, fifty-six".