257811507072 has 1152 divisors, whose sum is σ = 977728752000. Its totient is φ = 67157766144.

The previous prime is 257811507007. The next prime is 257811507097. The reversal of 257811507072 is 270705118752.

257811507072 is a `hidden beast` number, since 2 + 5 + 78 + 1 + 1 + 507 + 0 + 72 = 666.

257811507072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 839776743 + ... + 839777049.

It is an arithmetic number, because the mean of its divisors is an integer number (848722875).

Almost surely, 2^257811507072 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 257811507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488864376000).

257811507072 is an abundant number, since it is smaller than the sum of its proper divisors (719917244928).

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

257811507072 is a wasteful number, since it uses less digits than its factorization.

257811507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 257811507072 in words is "two hundred fifty-seven billion, eight hundred eleven million, five hundred seven thousand, seventy-two".