86076792288 has 120 divisors (see below), whose sum is σ = 253303752240. Its totient is φ = 28674777600.

The previous prime is 86076792229. The next prime is 86076792323. The reversal of 86076792288 is 88229767068.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4658973 + ... + 4677411.

It is an arithmetic number, because the mean of its divisors is an integer number (2110864602).

Almost surely, 2^86076792288 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 86076792288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126651876120).

86076792288 is an abundant number, since it is smaller than the sum of its proper divisors (167226959952).

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

86076792288 is a wasteful number, since it uses less digits than its factorization.

86076792288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20262 (or 20245 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 86076792288 in words is "eighty-six billion, seventy-six million, seven hundred ninety-two thousand, two hundred eighty-eight".