85220672183856 has 240 divisors, whose sum is σ = 264006145552032. Its totient is φ = 25445507788800.

The previous prime is 85220672183839. The next prime is 85220672183863. The reversal of 85220672183856 is 65838127602258.

85220672183856 is a `hidden beast` number, since 8 + 5 + 220 + 6 + 7 + 21 + 8 + 385 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85220672183793 and 85220672183802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116771446 + ... + 117498986.

Almost surely, 2^{85220672183856} 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 85220672183856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132003072776016).

85220672183856 is an abundant number, since it is smaller than the sum of its proper divisors (178785473368176).

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

85220672183856 is a wasteful number, since it uses less digits than its factorization.

85220672183856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728652 (or 728643 counting only the distinct ones).

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

The spelling of 85220672183856 in words is "eighty-five trillion, two hundred twenty billion, six hundred seventy-two million, one hundred eighty-three thousand, eight hundred fifty-six".