257242415360 has 288 divisors, whose sum is σ = 724829478912. Its totient is φ = 85643550720.

The previous prime is 257242415359. The next prime is 257242415363. The reversal of 257242415360 is 63514242752.

It is not an unprimeable number, because it can be changed into a prime (257242415363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55164389 + ... + 55169051.

It is an arithmetic number, because the mean of its divisors is an integer number (2516769024).

Almost surely, 2^257242415360 is an apocalyptic number.

257242415360 is a gapful number since it is divisible by the number (20) 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 257242415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362414739456).

257242415360 is an abundant number, since it is smaller than the sum of its proper divisors (467587063552).

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

257242415360 is a wasteful number, since it uses less digits than its factorization.

257242415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 257242415360 in words is "two hundred fifty-seven billion, two hundred forty-two million, four hundred fifteen thousand, three hundred sixty".