86106812224 has 56 divisors (see below), whose sum is σ = 176545329408. Its totient is φ = 41625553920.

The previous prime is 86106812201. The next prime is 86106812237. The reversal of 86106812224 is 42221860168.

It is a happy number.

It is a super-2 number, since 2×86106812224² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2156667 + ... + 2196229.

It is an arithmetic number, because the mean of its divisors is an integer number (3152595168).

Almost surely, 2^86106812224 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 86106812224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88272664704).

86106812224 is an abundant number, since it is smaller than the sum of its proper divisors (90438517184).

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

86106812224 is a wasteful number, since it uses less digits than its factorization.

86106812224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40703 (or 40693 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 86106812224 in words is "eighty-six billion, one hundred six million, eight hundred twelve thousand, two hundred twenty-four".