857943385920 has 224 divisors, whose sum is σ = 3039304665600. Its totient is φ = 227827095552.

The previous prime is 857943385877. The next prime is 857943385961. The reversal of 857943385920 is 29583349758.

857943385920 is a `hidden beast` number, since 8 + 5 + 7 + 9 + 4 + 3 + 38 + 592 + 0 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1857222 + ... + 2272698.

It is an arithmetic number, because the mean of its divisors is an integer number (13568324400).

Almost surely, 2^857943385920 is an apocalyptic number.

857943385920 is a gapful number since it is divisible by the number (80) 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 857943385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519652332800).

857943385920 is an abundant number, since it is smaller than the sum of its proper divisors (2181361279680).

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

857943385920 is a wasteful number, since it uses less digits than its factorization.

857943385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415742 (or 415726 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 857943385920 in words is "eight hundred fifty-seven billion, nine hundred forty-three million, three hundred eighty-five thousand, nine hundred twenty".