857713240512 has 280 divisors, whose sum is σ = 2577231041616. Its totient is φ = 282013581312.

The previous prime is 857713240507. The next prime is 857713240513. The reversal of 857713240512 is 215042317758.

857713240512 is a `hidden beast` number, since 8 + 577 + 1 + 3 + 24 + 0 + 51 + 2 = 666.

857713240512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857713240513) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 377347408 + ... + 377349680.

Almost surely, 2^857713240512 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 857713240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288615520808).

857713240512 is an abundant number, since it is smaller than the sum of its proper divisors (1719517801104).

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

857713240512 is a wasteful number, since it uses less digits than its factorization.

857713240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 857713240512 in words is "eight hundred fifty-seven billion, seven hundred thirteen million, two hundred forty thousand, five hundred twelve".