257944856720208 has 120 divisors (see below), whose sum is σ = 787858002923040. Its totient is φ = 72490357820160.

The previous prime is 257944856720107. The next prime is 257944856720237. The reversal of 257944856720208 is 802027658449752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898794498 + ... + 899081441.

It is an arithmetic number, because the mean of its divisors is an integer number (6565483357692).

Almost surely, 2^{257944856720208} is an apocalyptic number.

257944856720208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257944856720208 is an abundant number, since it is smaller than the sum of its proper divisors (529913146202832).

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

257944856720208 is a wasteful number, since it uses less digits than its factorization.

257944856720208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797876025 (or 1797876012 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 69.

The spelling of 257944856720208 in words is "two hundred fifty-seven trillion, nine hundred forty-four billion, eight hundred fifty-six million, seven hundred twenty thousand, two hundred eight".