86106780852 has 96 divisors (see below), whose sum is σ = 219976694784. Its totient is φ = 26097254400.

The previous prime is 86106780847. The next prime is 86106780853. The reversal of 86106780852 is 25808760168.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 86106780795 and 86106780804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86106780853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3738652 + ... + 3761612.

It is an arithmetic number, because the mean of its divisors is an integer number (2291423904).

Almost surely, 2^86106780852 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 86106780852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109988347392).

86106780852 is an abundant number, since it is smaller than the sum of its proper divisors (133869913932).

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

86106780852 is a wasteful number, since it uses less digits than its factorization.

86106780852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23609 (or 23607 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 86106780852 in words is "eighty-six billion, one hundred six million, seven hundred eighty thousand, eight hundred fifty-two".