86412504672 has 192 divisors, whose sum is σ = 272176450560. Its totient is φ = 26514749952.

The previous prime is 86412504649. The next prime is 86412504679. The reversal of 86412504672 is 27640521468.

86412504672 is a `hidden beast` number, since 8 + 64 + 12 + 504 + 6 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86412504679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4111663 + ... + 4132625.

It is an arithmetic number, because the mean of its divisors is an integer number (1417585680).

Almost surely, 2^86412504672 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 86412504672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136088225280).

86412504672 is an abundant number, since it is smaller than the sum of its proper divisors (185763945888).

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

86412504672 is a wasteful number, since it uses less digits than its factorization.

86412504672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21362 (or 21348 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 86412504672 in words is "eighty-six billion, four hundred twelve million, five hundred four thousand, six hundred seventy-two".