856842857136 has 480 divisors, whose sum is σ = 2974417625088. Its totient is φ = 224677601280.

The previous prime is 856842857107. The next prime is 856842857191. The reversal of 856842857136 is 631758248658.

856842857136 is a `hidden beast` number, since 8 + 5 + 6 + 8 + 4 + 28 + 571 + 36 = 666.

It is a super-2 number, since 2×856842857136² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235978041 + ... + 235981671.

Almost surely, 2^856842857136 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 856842857136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487208812544).

856842857136 is an abundant number, since it is smaller than the sum of its proper divisors (2117574767952).

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

856842857136 is a wasteful number, since it uses less digits than its factorization.

856842857136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 4000 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 856842857136 in words is "eight hundred fifty-six billion, eight hundred forty-two million, eight hundred fifty-seven thousand, one hundred thirty-six".