86908005072 has 120 divisors (see below), whose sum is σ = 279632685696. Its totient is φ = 24682123008.

The previous prime is 86908005061. The next prime is 86908005073. The reversal of 86908005072 is 27050080968.

86908005072 is a `hidden beast` number, since 8 + 69 + 0 + 80 + 0 + 507 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86908005073) 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, 89803 + ... + 426474.

Almost surely, 2^86908005072 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 86908005072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139816342848).

86908005072 is an abundant number, since it is smaller than the sum of its proper divisors (192724680624).

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

86908005072 is a wasteful number, since it uses less digits than its factorization.

86908005072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516465 (or 516456 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 86908005072 in words is "eighty-six billion, nine hundred eight million, five thousand, seventy-two".