257467252293680 has 640 divisors, whose sum is σ = 736641011957760. Its totient is φ = 82404532224000.

The previous prime is 257467252293677. The next prime is 257467252293697. The reversal of 257467252293680 is 86392252764752.

It is a self number, because there is not a number n which added to its sum of digits gives 257467252293680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68311818836 + ... + 68311822604.

It is an arithmetic number, because the mean of its divisors is an integer number (1151001581184).

Almost surely, 2^{257467252293680} is an apocalyptic number.

257467252293680 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 257467252293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368320505978880).

257467252293680 is an abundant number, since it is smaller than the sum of its proper divisors (479173759664080).

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

257467252293680 is a wasteful number, since it uses less digits than its factorization.

257467252293680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6621 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 68.

The spelling of 257467252293680 in words is "two hundred fifty-seven trillion, four hundred sixty-seven billion, two hundred fifty-two million, two hundred ninety-three thousand, six hundred eighty".