857681104896 has 1872 divisors, whose sum is σ = 3489671098368. Its totient is φ = 204241305600.

The previous prime is 857681104871. The next prime is 857681104897. The reversal of 857681104896 is 698401186758.

857681104896 is a `hidden beast` number, since 8 + 5 + 76 + 81 + 1 + 0 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (857681104897) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27667132401 + ... + 27667132431.

It is an arithmetic number, because the mean of its divisors is an integer number (1864140544).

Almost surely, 2^857681104896 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 857681104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744835549184).

857681104896 is an abundant number, since it is smaller than the sum of its proper divisors (2631989993472).

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

857681104896 is a wasteful number, since it uses less digits than its factorization.

857681104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 857681104896 in words is "eight hundred fifty-seven billion, six hundred eighty-one million, one hundred four thousand, eight hundred ninety-six".