86807805480 has 288 divisors, whose sum is σ = 311506322400. Its totient is φ = 20949223680.

The previous prime is 86807805467. The next prime is 86807805541. The reversal of 86807805480 is 8450870868.

86807805480 is a `hidden beast` number, since 8 + 6 + 80 + 7 + 80 + 5 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9883731 + ... + 9892509.

It is an arithmetic number, because the mean of its divisors is an integer number (1081619175).

Almost surely, 2^86807805480 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 86807805480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155753161200).

86807805480 is an abundant number, since it is smaller than the sum of its proper divisors (224698516920).

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

86807805480 is a wasteful number, since it uses less digits than its factorization.

86807805480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 86807805480 in words is "eighty-six billion, eight hundred seven million, eight hundred five thousand, four hundred eighty".