86866951824 has 105 divisors (see below), whose sum is σ = 252434143993. Its totient is φ = 28945040256.

The previous prime is 86866951819. The next prime is 86866951837. The reversal of 86866951824 is 42815966868.

The square root of 86866951824 is 294732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83713006224 + 3153945600 = 289332^2 + 56160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 31829692 + ... + 31832420.

Almost surely, 2^86866951824 is an apocalyptic number.

86866951824 is the 294732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86866951824

86866951824 is an abundant number, since it is smaller than the sum of its proper divisors (165567192169).

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

86866951824 is an frugal number, since it uses more digits than its factorization.

86866951824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 2734 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 86866951824 in words is "eighty-six billion, eight hundred sixty-six million, nine hundred fifty-one thousand, eight hundred twenty-four".