86984583972 has 192 divisors, whose sum is σ = 242181488640. Its totient is φ = 23953190400.

The previous prime is 86984583971. The next prime is 86984584009. The reversal of 86984583972 is 27938548968.

It is a junction number, because it is equal to n+sod(n) for n = 86984583897 and 86984583906.

It is not an unprimeable number, because it can be changed into a prime (86984583971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31990029 + ... + 31992747.

It is an arithmetic number, because the mean of its divisors is an integer number (1261361920).

Almost surely, 2^86984583972 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 86984583972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121090744320).

86984583972 is an abundant number, since it is smaller than the sum of its proper divisors (155196904668).

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

86984583972 is a wasteful number, since it uses less digits than its factorization.

86984583972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3032 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 69.

The spelling of 86984583972 in words is "eighty-six billion, nine hundred eighty-four million, five hundred eighty-three thousand, nine hundred seventy-two".