257928868260 has 576 divisors, whose sum is σ = 955474071552. Its totient is φ = 55046863872.

The previous prime is 257928868259. The next prime is 257928868277. The reversal of 257928868260 is 62868829752.

257928868260 is a `hidden beast` number, since 25 + 79 + 288 + 6 + 8 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 471533307 + ... + 471533853.

It is an arithmetic number, because the mean of its divisors is an integer number (1658809152).

Almost surely, 2^257928868260 is an apocalyptic number.

257928868260 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 257928868260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477737035776).

257928868260 is an abundant number, since it is smaller than the sum of its proper divisors (697545203292).

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

257928868260 is a wasteful number, since it uses less digits than its factorization.

257928868260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 257928868260 in words is "two hundred fifty-seven billion, nine hundred twenty-eight million, eight hundred sixty-eight thousand, two hundred sixty".