257815852386016 has 192 divisors, whose sum is σ = 543113926225920. Its totient is φ = 120051239362560.

The previous prime is 257815852385909. The next prime is 257815852386023. The reversal of 257815852386016 is 610683258518752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14079825501 + ... + 14079843811.

It is an arithmetic number, because the mean of its divisors is an integer number (2828718365760).

Almost surely, 2^{257815852386016} 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 257815852386016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271556963112960).

257815852386016 is an abundant number, since it is smaller than the sum of its proper divisors (285298073839904).

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

257815852386016 is a wasteful number, since it uses less digits than its factorization.

257815852386016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19257 (or 19249 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 67.

The spelling of 257815852386016 in words is "two hundred fifty-seven trillion, eight hundred fifteen billion, eight hundred fifty-two million, three hundred eighty-six thousand, sixteen".