86482172880 has 320 divisors, whose sum is σ = 317065777920. Its totient is φ = 21591097344.

The previous prime is 86482172867. The next prime is 86482172891. The reversal of 86482172880 is 8827128468.

86482172880 is a `hidden beast` number, since 86 + 482 + 1 + 7 + 2 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7080859 + ... + 7093061.

It is an arithmetic number, because the mean of its divisors is an integer number (990830556).

Almost surely, 2^86482172880 is an apocalyptic number.

86482172880 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 86482172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158532888960).

86482172880 is an abundant number, since it is smaller than the sum of its proper divisors (230583605040).

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

86482172880 is a wasteful number, since it uses less digits than its factorization.

86482172880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12435 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 86482172880 in words is "eighty-six billion, four hundred eighty-two million, one hundred seventy-two thousand, eight hundred eighty".