86312770816 has 54 divisors (see below), whose sum is σ = 175187298146. Its totient is φ = 42430848000.

The previous prime is 86312770759. The next prime is 86312770823. The reversal of 86312770816 is 61807721368.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 50938684416 + 35374086400 = 225696^2 + 188080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86312770816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36712041 + ... + 36714391.

Almost surely, 2^86312770816 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 86312770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87593649073).

86312770816 is an abundant number, since it is smaller than the sum of its proper divisors (88874527330).

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

86312770816 is an frugal number, since it uses more digits than its factorization.

86312770816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 86312770816 in words is "eighty-six billion, three hundred twelve million, seven hundred seventy thousand, eight hundred sixteen".