257259040820 has 48 divisors (see below), whose sum is σ = 546909384000. Its totient is φ = 101638278144.

The previous prime is 257259040817. The next prime is 257259040849. The reversal of 257259040820 is 28040952752.

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, 835187 + ... + 1100933.

It is an arithmetic number, because the mean of its divisors is an integer number (11393945500).

Almost surely, 2^257259040820 is an apocalyptic number.

257259040820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257259040820 is an abundant number, since it is smaller than the sum of its proper divisors (289650343180).

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

257259040820 is a wasteful number, since it uses less digits than its factorization.

257259040820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266352 (or 266350 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 257259040820 in words is "two hundred fifty-seven billion, two hundred fifty-nine million, forty thousand, eight hundred twenty".