257652708040 has 128 divisors (see below), whose sum is σ = 716278671360. Its totient is φ = 81225252864.

The previous prime is 257652708013. The next prime is 257652708041. The reversal of 257652708040 is 40807256752.

It is not an unprimeable number, because it can be changed into a prime (257652708041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797769 + ... + 1073191.

It is an arithmetic number, because the mean of its divisors is an integer number (5595927120).

Almost surely, 2^257652708040 is an apocalyptic number.

257652708040 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 257652708040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358139335680).

257652708040 is an abundant number, since it is smaller than the sum of its proper divisors (458625963320).

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

257652708040 is a wasteful number, since it uses less digits than its factorization.

257652708040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275711 (or 275707 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 257652708040 in words is "two hundred fifty-seven billion, six hundred fifty-two million, seven hundred eight thousand, forty".