257475287520 has 192 divisors, whose sum is σ = 983087642880. Its totient is φ = 62418240000.

The previous prime is 257475287477. The next prime is 257475287521. The reversal of 257475287520 is 25782574752.

257475287520 is a `hidden beast` number, since 2 + 5 + 7 + 47 + 528 + 75 + 2 + 0 = 666.

257475287520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257475287521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661606 + ... + 2756645.

It is an arithmetic number, because the mean of its divisors is an integer number (5120248140).

Almost surely, 2^257475287520 is an apocalyptic number.

257475287520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257475287520 is an abundant number, since it is smaller than the sum of its proper divisors (725612355360).

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

257475287520 is a wasteful number, since it uses less digits than its factorization.

257475287520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418286 (or 5418272 counting only the distinct ones).

The product of its (nonzero) digits is 10976000, while the sum is 54.

The spelling of 257475287520 in words is "two hundred fifty-seven billion, four hundred seventy-five million, two hundred eighty-seven thousand, five hundred twenty".