257495961912 has 512 divisors, whose sum is σ = 830201856000. Its totient is φ = 64900362240.

The previous prime is 257495961907. The next prime is 257495961937. The reversal of 257495961912 is 219169594752.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 310609914 + ... + 310610742.

It is an arithmetic number, because the mean of its divisors is an integer number (1621488000).

Almost surely, 2^257495961912 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 257495961912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415100928000).

257495961912 is an abundant number, since it is smaller than the sum of its proper divisors (572705894088).

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

257495961912 is a wasteful number, since it uses less digits than its factorization.

257495961912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1007 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 60.

The spelling of 257495961912 in words is "two hundred fifty-seven billion, four hundred ninety-five million, nine hundred sixty-one thousand, nine hundred twelve".