257202264200 has 324 divisors, whose sum is σ = 717323023935. Its totient is φ = 85515575040.

The previous prime is 257202264173. The next prime is 257202264211. The reversal of 257202264200 is 2462202752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 144146271556 + 113055992644 = 379666^2 + 336238^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=358610.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2359653746 + ... + 2359653854.

Almost surely, 2^257202264200 is an apocalyptic number.

257202264200 is a gapful number since it is divisible by the number (20) 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 257202264200

257202264200 is an abundant number, since it is smaller than the sum of its proper divisors (460120759735).

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

257202264200 is a wasteful number, since it uses less digits than its factorization.

257202264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

Multiplying 257202264200 by its sum of digits (32), we get a square (8230472454400 = 2868880²).

Adding to 257202264200 its reverse (2462202752), we get a palindrome (259664466952).

The spelling of 257202264200 in words is "two hundred fifty-seven billion, two hundred two million, two hundred sixty-four thousand, two hundred".