86619480304 has 320 divisors, whose sum is σ = 215351296000. Its totient is φ = 33606316800.

The previous prime is 86619480293. The next prime is 86619480319. The reversal of 86619480304 is 40308491668.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410518759 + ... + 410518969.

It is an arithmetic number, because the mean of its divisors is an integer number (672972800).

Almost surely, 2^86619480304 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 86619480304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107675648000).

86619480304 is an abundant number, since it is smaller than the sum of its proper divisors (128731815696).

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

86619480304 is a wasteful number, since it uses less digits than its factorization.

86619480304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 86619480304 in words is "eighty-six billion, six hundred nineteen million, four hundred eighty thousand, three hundred four".