257865349968 has 120 divisors (see below), whose sum is σ = 735873035040. Its totient is φ = 84270677760.

The previous prime is 257865349943. The next prime is 257865349969. The reversal of 257865349968 is 869943568752.

It is a happy number.

257865349968 is a `hidden beast` number, since 2 + 5 + 7 + 86 + 53 + 499 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 257865349896 and 257865349905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257865349969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3128323 + ... + 3209693.

It is an arithmetic number, because the mean of its divisors is an integer number (6132275292).

Almost surely, 2^257865349968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257865349968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367936517520).

257865349968 is an abundant number, since it is smaller than the sum of its proper divisors (478007685072).

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

257865349968 is a wasteful number, since it uses less digits than its factorization.

257865349968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81817 (or 81808 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 257865349968 in words is "two hundred fifty-seven billion, eight hundred sixty-five million, three hundred forty-nine thousand, nine hundred sixty-eight".