257219416768920 has 64 divisors (see below), whose sum is σ = 772672256166240. Its totient is φ = 68501710617600.

The previous prime is 257219416768907. The next prime is 257219416768961. The reversal of 257219416768920 is 29867614912752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408249771 + ... + 1408432410.

Almost surely, 2^{257219416768920} is an apocalyptic number.

257219416768920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257219416768920 is an abundant number, since it is smaller than the sum of its proper divisors (515452839397320).

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

257219416768920 is a wasteful number, since it uses less digits than its factorization.

257219416768920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816682956 (or 2816682952 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 69.

The spelling of 257219416768920 in words is "two hundred fifty-seven trillion, two hundred nineteen billion, four hundred sixteen million, seven hundred sixty-eight thousand, nine hundred twenty".