857205197764608 has 1536 divisors, whose sum is σ = 3053781042923520. Its totient is φ = 206995948830720.

The previous prime is 857205197764549. The next prime is 857205197764631. The reversal of 857205197764608 is 806467791502758.

857205197764608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 857205197764608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 743456372160 + ... + 743456373312.

It is an arithmetic number, because the mean of its divisors is an integer number (1988138699820).

Almost surely, 2^{857205197764608} is an apocalyptic number.

857205197764608 is a gapful number since it is divisible by the number (88) 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 857205197764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526890521461760).

857205197764608 is an abundant number, since it is smaller than the sum of its proper divisors (2196575845158912).

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

857205197764608 is a wasteful number, since it uses less digits than its factorization.

857205197764608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 75.

The spelling of 857205197764608 in words is "eight hundred fifty-seven trillion, two hundred five billion, one hundred ninety-seven million, seven hundred sixty-four thousand, six hundred eight".