86627503648672 has 72 divisors (see below), whose sum is σ = 198394206508260. Its totient is φ = 37125744768000.

The previous prime is 86627503648661. The next prime is 86627503648711. The reversal of 86627503648672 is 27684630572668.

It can be written as a sum of positive squares in 2 ways, for example, as 82971621983376 + 3655881665296 = 9108876^2 + 1912036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278837422 + ... + 279147922.

Almost surely, 2^{86627503648672} is an apocalyptic number.

It is an amenable number.

86627503648672 is an abundant number, since it is smaller than the sum of its proper divisors (111766702859588).

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

86627503648672 is a wasteful number, since it uses less digits than its factorization.

86627503648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488454 (or 488439 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 70.

The spelling of 86627503648672 in words is "eighty-six trillion, six hundred twenty-seven billion, five hundred three million, six hundred forty-eight thousand, six hundred seventy-two".