257433715260 has 144 divisors (see below), whose sum is σ = 802571480256. Its totient is φ = 66744953856.

The previous prime is 257433715243. The next prime is 257433715303. The reversal of 257433715260 is 62517334752.

257433715260 is a `hidden beast` number, since 2 + 5 + 7 + 433 + 7 + 152 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9623664 + ... + 9650376.

Almost surely, 2^257433715260 is an apocalyptic number.

257433715260 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 257433715260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401285740128).

257433715260 is an abundant number, since it is smaller than the sum of its proper divisors (545137764996).

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

257433715260 is a wasteful number, since it uses less digits than its factorization.

257433715260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28212 (or 28207 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 257433715260 in words is "two hundred fifty-seven billion, four hundred thirty-three million, seven hundred fifteen thousand, two hundred sixty".