85090909860 has 960 divisors, whose sum is σ = 323790888960. Its totient is φ = 18629740800.

The previous prime is 85090909843. The next prime is 85090909861. The reversal of 85090909860 is 6890909058.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85090909797 and 85090909806.

It is not an unprimeable number, because it can be changed into a prime (85090909861) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1270013547 + ... + 1270013613.

It is an arithmetic number, because the mean of its divisors is an integer number (337282176).

Almost surely, 2^85090909860 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 85090909860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161895444480).

85090909860 is an abundant number, since it is smaller than the sum of its proper divisors (238699979100).

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

85090909860 is a wasteful number, since it uses less digits than its factorization.

85090909860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 85090909860 in words is "eighty-five billion, ninety million, nine hundred nine thousand, eight hundred sixty".