257803479892 has 48 divisors (see below), whose sum is σ = 526382640000. Its totient is φ = 110434058112.

The previous prime is 257803479863. The next prime is 257803479893. The reversal of 257803479892 is 298974308752.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257803479893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2876859 + ... + 2965117.

It is an arithmetic number, because the mean of its divisors is an integer number (10966305000).

Almost surely, 2^257803479892 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 257803479892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263191320000).

257803479892 is an abundant number, since it is smaller than the sum of its proper divisors (268579160108).

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

257803479892 is a wasteful number, since it uses less digits than its factorization.

257803479892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90413 (or 90397 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 257803479892 in words is "two hundred fifty-seven billion, eight hundred three million, four hundred seventy-nine thousand, eight hundred ninety-two".