86785044480 has 312 divisors, whose sum is σ = 316663404720. Its totient is φ = 21923758080.

The previous prime is 86785044439. The next prime is 86785044497. The reversal of 86785044480 is 8444058768.

86785044480 is a `hidden beast` number, since 8 + 6 + 78 + 50 + 44 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3489690 + ... + 3514470.

It is an arithmetic number, because the mean of its divisors is an integer number (1014946810).

Almost surely, 2^86785044480 is an apocalyptic number.

86785044480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86785044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158331702360).

86785044480 is an abundant number, since it is smaller than the sum of its proper divisors (229878360240).

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

86785044480 is a wasteful number, since it uses less digits than its factorization.

86785044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24835 (or 24810 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 86785044480 in words is "eighty-six billion, seven hundred eighty-five million, forty-four thousand, four hundred eighty".