257626927680 has 112 divisors (see below), whose sum is σ = 818805697920. Its totient is φ = 68629946368.

The previous prime is 257626927633. The next prime is 257626927681. The reversal of 257626927680 is 86729626752.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (257626927681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800581 + ... + 1075259.

It is an arithmetic number, because the mean of its divisors is an integer number (7310765160).

Almost surely, 2^257626927680 is an apocalyptic number.

257626927680 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 257626927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409402848960).

257626927680 is an abundant number, since it is smaller than the sum of its proper divisors (561178770240).

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

257626927680 is a wasteful number, since it uses less digits than its factorization.

257626927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275676 (or 275666 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 257626927680 in words is "two hundred fifty-seven billion, six hundred twenty-six million, nine hundred twenty-seven thousand, six hundred eighty".