257280840960 has 864 divisors, whose sum is σ = 1013495390208. Its totient is φ = 55035002880.

The previous prime is 257280840931. The next prime is 257280840961. The reversal of 257280840960 is 69048082752.

It is a super-2 number, since 2×257280840960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257280840961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164186097 + ... + 164187663.

It is an arithmetic number, because the mean of its divisors is an integer number (1173027072).

Almost surely, 2^257280840960 is an apocalyptic number.

257280840960 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 257280840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506747695104).

257280840960 is an abundant number, since it is smaller than the sum of its proper divisors (756214549248).

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

257280840960 is a wasteful number, since it uses less digits than its factorization.

257280840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 257280840960 in words is "two hundred fifty-seven billion, two hundred eighty million, eight hundred forty thousand, nine hundred sixty".