257338276560 has 800 divisors, whose sum is σ = 1008971707392. Its totient is φ = 60436316160.

The previous prime is 257338276549. The next prime is 257338276621. The reversal of 257338276560 is 65672833752.

It is a happy number.

257338276560 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 3 + 8 + 2 + 76 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 257338276497 and 257338276506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 119081880 + ... + 119084040.

Almost surely, 2^257338276560 is an apocalyptic number.

257338276560 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 257338276560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504485853696).

257338276560 is an abundant number, since it is smaller than the sum of its proper divisors (751633430832).

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

257338276560 is a wasteful number, since it uses less digits than its factorization.

257338276560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 257338276560 in words is "two hundred fifty-seven billion, three hundred thirty-eight million, two hundred seventy-six thousand, five hundred sixty".