86871621672 has 192 divisors, whose sum is σ = 262882713600. Its totient is φ = 25690389120.

The previous prime is 86871621643. The next prime is 86871621673. The reversal of 86871621672 is 27612617868.

86871621672 is a `hidden beast` number, since 8 + 6 + 8 + 7 + 1 + 621 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (86871621673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13658029 + ... + 13664387.

It is an arithmetic number, because the mean of its divisors is an integer number (1369180800).

Almost surely, 2^86871621672 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 86871621672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131441356800).

86871621672 is an abundant number, since it is smaller than the sum of its proper divisors (176011091928).

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

86871621672 is a wasteful number, since it uses less digits than its factorization.

86871621672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6789 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 86871621672 in words is "eighty-six billion, eight hundred seventy-one million, six hundred twenty-one thousand, six hundred seventy-two".