257208746276020 has 192 divisors, whose sum is σ = 709915723776000. Its totient is φ = 75836682915840.

The previous prime is 257208746275979. The next prime is 257208746276071. The reversal of 257208746276020 is 20672647802752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13161181 + ... + 26222779.

It is an arithmetic number, because the mean of its divisors is an integer number (3697477728000).

Almost surely, 2^{257208746276020} is an apocalyptic number.

257208746276020 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 257208746276020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354957861888000).

257208746276020 is an abundant number, since it is smaller than the sum of its proper divisors (452706977499980).

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

257208746276020 is a wasteful number, since it uses less digits than its factorization.

257208746276020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13062318 (or 13062316 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 58.

The spelling of 257208746276020 in words is "two hundred fifty-seven trillion, two hundred eight billion, seven hundred forty-six million, two hundred seventy-six thousand, twenty".