257238321152 has 96 divisors (see below), whose sum is σ = 542927548800. Its totient is φ = 121510969344.

The previous prime is 257238321103. The next prime is 257238321169. The reversal of 257238321152 is 251123832752.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14271698 + ... + 14289710.

It is an arithmetic number, because the mean of its divisors is an integer number (5655495300).

Almost surely, 2^257238321152 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 257238321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271463774400).

257238321152 is an abundant number, since it is smaller than the sum of its proper divisors (285689227648).

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

257238321152 is a wasteful number, since it uses less digits than its factorization.

257238321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18421 (or 18401 counting only the distinct ones).

The product of its digits is 201600, while the sum is 41.

The spelling of 257238321152 in words is "two hundred fifty-seven billion, two hundred thirty-eight million, three hundred twenty-one thousand, one hundred fifty-two".