257269757472 has 384 divisors, whose sum is σ = 925566566400. Its totient is φ = 67701961728.

The previous prime is 257269757449. The next prime is 257269757519. The reversal of 257269757472 is 274757962752.

It is a happy number.

257269757472 is a `hidden beast` number, since 2 + 5 + 7 + 26 + 97 + 57 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38286529 + ... + 38293247.

It is an arithmetic number, because the mean of its divisors is an integer number (2410329600).

Almost surely, 2^257269757472 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 257269757472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462783283200).

257269757472 is an abundant number, since it is smaller than the sum of its proper divisors (668296808928).

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

257269757472 is a wasteful number, since it uses less digits than its factorization.

257269757472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7231 counting only the distinct ones).

The product of its digits is 103723200, while the sum is 63.

The spelling of 257269757472 in words is "two hundred fifty-seven billion, two hundred sixty-nine million, seven hundred fifty-seven thousand, four hundred seventy-two".