86634108480 has 448 divisors, whose sum is σ = 296587468800. Its totient is φ = 21419071488.

The previous prime is 86634108469. The next prime is 86634108497. The reversal of 86634108480 is 8480143668.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 388493649 + ... + 388493871.

It is an arithmetic number, because the mean of its divisors is an integer number (662025600).

Almost surely, 2^86634108480 is an apocalyptic number.

86634108480 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 86634108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148293734400).

86634108480 is an abundant number, since it is smaller than the sum of its proper divisors (209953360320).

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

86634108480 is a wasteful number, since it uses less digits than its factorization.

86634108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 86634108480 in words is "eighty-six billion, six hundred thirty-four million, one hundred eight thousand, four hundred eighty".