257509026432 has 384 divisors, whose sum is σ = 867038515200. Its totient is φ = 71829596160.

The previous prime is 257509026409. The next prime is 257509026433. The reversal of 257509026432 is 234620905752.

257509026432 is a `hidden beast` number, since 2 + 57 + 509 + 0 + 2 + 64 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (257509026433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249765757 + ... + 249766787.

It is an arithmetic number, because the mean of its divisors is an integer number (2257912800).

Almost surely, 2^257509026432 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 257509026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433519257600).

257509026432 is an abundant number, since it is smaller than the sum of its proper divisors (609529488768).

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

257509026432 is a wasteful number, since it uses less digits than its factorization.

257509026432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 257509026432 in words is "two hundred fifty-seven billion, five hundred nine million, twenty-six thousand, four hundred thirty-two".