257949888102 has 24 divisors (see below), whose sum is σ = 558915491160. Its totient is φ = 85979593440.

The previous prime is 257949888071. The next prime is 257949888137. The reversal of 257949888102 is 201888949752.

257949888102 is a `hidden beast` number, since 2 + 57 + 9 + 498 + 88 + 10 + 2 = 666.

257949888102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257949888102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138577 + ... + 731507.

It is an arithmetic number, because the mean of its divisors is an integer number (23288145465).

Almost surely, 2^257949888102 is an apocalyptic number.

257949888102 is an abundant number, since it is smaller than the sum of its proper divisors (300965603058).

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

257949888102 is a wasteful number, since it uses less digits than its factorization.

257949888102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617108 (or 617105 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 257949888102 in words is "two hundred fifty-seven billion, nine hundred forty-nine million, eight hundred eighty-eight thousand, one hundred two".