85420835136 has 504 divisors, whose sum is σ = 320171429760. Its totient is φ = 21199601664.

The previous prime is 85420835117. The next prime is 85420835167. The reversal of 85420835136 is 63153802458.

85420835136 is a `hidden beast` number, since 8 + 54 + 2 + 0 + 83 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 85420835091 and 85420835100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15145405 + ... + 15151043.

Almost surely, 2^85420835136 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 85420835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160085714880).

85420835136 is an abundant number, since it is smaller than the sum of its proper divisors (234750594624).

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

85420835136 is a wasteful number, since it uses less digits than its factorization.

85420835136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85420835136 in words is "eighty-five billion, four hundred twenty million, eight hundred thirty-five thousand, one hundred thirty-six".