257913872322624 has 672 divisors, whose sum is σ = 912343642269696. Its totient is φ = 67984874864640.

The previous prime is 257913872322577. The next prime is 257913872322719. The reversal of 257913872322624 is 426223278319752.

257913872322624 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 1 + 387 + 2 + 3 + 226 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 1224981649 + ... + 1225192175.

It is an arithmetic number, because the mean of its divisors is an integer number (1357654229568).

Almost surely, 2^{257913872322624} is an apocalyptic number.

257913872322624 is a gapful number since it is divisible by the number (24) 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 257913872322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456171821134848).

257913872322624 is an abundant number, since it is smaller than the sum of its proper divisors (654429769947072).

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

257913872322624 is a wasteful number, since it uses less digits than its factorization.

257913872322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210923 (or 210910 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 257913872322624 in words is "two hundred fifty-seven trillion, nine hundred thirteen billion, eight hundred seventy-two million, three hundred twenty-two thousand, six hundred twenty-four".