86129632251 has 24 divisors (see below), whose sum is σ = 138599413680. Its totient is φ = 51175164096.

The previous prime is 86129632247. The next prime is 86129632271. The reversal of 86129632251 is 15223692168.

86129632251 is a `hidden beast` number, since 8 + 6 + 1 + 2 + 9 + 632 + 2 + 5 + 1 = 666.

It is not a de Polignac number, because 86129632251 - 2² = 86129632247 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86129632197 and 86129632206.

It is not an unprimeable number, because it can be changed into a prime (86129632231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12688861 + ... + 12695646.

It is an arithmetic number, because the mean of its divisors is an integer number (5774975570).

Almost surely, 2^86129632251 is an apocalyptic number.

86129632251 is a deficient number, since it is larger than the sum of its proper divisors (52469781429).

86129632251 is a wasteful number, since it uses less digits than its factorization.

86129632251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25384555 (or 25384552 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 86129632251 in words is "eighty-six billion, one hundred twenty-nine million, six hundred thirty-two thousand, two hundred fifty-one".