257214412752 has 160 divisors (see below), whose sum is σ = 729797040000. Its totient is φ = 77416581120.

The previous prime is 257214412729. The next prime is 257214412759.

257214412752 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257214412759) 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, 49566574 + ... + 49571762.

It is an arithmetic number, because the mean of its divisors is an integer number (4561231500).

Almost surely, 2^257214412752 is an apocalyptic number.

257214412752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257214412752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364898520000).

257214412752 is an abundant number, since it is smaller than the sum of its proper divisors (472582627248).

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

257214412752 is a wasteful number, since it uses less digits than its factorization.

257214412752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5823 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

It can be divided in two parts, 257214 and 412752, that added together give a palindrome (669966).

The spelling of 257214412752 in words is "two hundred fifty-seven billion, two hundred fourteen million, four hundred twelve thousand, seven hundred fifty-two".