85780205586 has 96 divisors (see below), whose sum is σ = 196816688640. Its totient is φ = 26958355200.

The previous prime is 85780205471. The next prime is 85780205587. The reversal of 85780205586 is 68550208758.

It is a happy number.

85780205586 is a `hidden beast` number, since 8 + 5 + 7 + 80 + 2 + 0 + 558 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85780205587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9809176 + ... + 9817916.

It is an arithmetic number, because the mean of its divisors is an integer number (2050173840).

Almost surely, 2^85780205586 is an apocalyptic number.

85780205586 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 85780205586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98408344320).

85780205586 is an abundant number, since it is smaller than the sum of its proper divisors (111036483054).

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

85780205586 is a wasteful number, since it uses less digits than its factorization.

85780205586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 85780205586 in words is "eighty-five billion, seven hundred eighty million, two hundred five thousand, five hundred eighty-six".