85786055824 has 80 divisors (see below), whose sum is σ = 199726859520. Its totient is φ = 34915668480.

The previous prime is 85786055821. The next prime is 85786055827. The reversal of 85786055824 is 42855068758.

It is an interprime number because it is at equal distance from previous prime (85786055821) and next prime (85786055827).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (85786055821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18364 + ... + 414619.

It is an arithmetic number, because the mean of its divisors is an integer number (2496585744).

Almost surely, 2^85786055824 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 85786055824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99863429760).

85786055824 is an abundant number, since it is smaller than the sum of its proper divisors (113940803696).

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

85786055824 is a wasteful number, since it uses less digits than its factorization.

85786055824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433088 (or 433082 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 58.

The spelling of 85786055824 in words is "eighty-five billion, seven hundred eighty-six million, fifty-five thousand, eight hundred twenty-four".