257416259981792 has 192 divisors, whose sum is σ = 542333497466880. Its totient is φ = 119926557628416.

The previous prime is 257416259981779. The next prime is 257416259981809. The reversal of 257416259981792 is 297189952614752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4996698818 + ... + 4996750334.

It is an arithmetic number, because the mean of its divisors is an integer number (2824653632640).

Almost surely, 2^{257416259981792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257416259981792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271166748733440).

257416259981792 is an abundant number, since it is smaller than the sum of its proper divisors (284917237485088).

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

257416259981792 is a wasteful number, since it uses less digits than its factorization.

257416259981792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52233 (or 52225 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 77.

The spelling of 257416259981792 in words is "two hundred fifty-seven trillion, four hundred sixteen billion, two hundred fifty-nine million, nine hundred eighty-one thousand, seven hundred ninety-two".