86799066480 has 960 divisors, whose sum is σ = 387778752000. Its totient is φ = 17682997248.

The previous prime is 86799066469. The next prime is 86799066481. The reversal of 86799066480 is 8466099768.

86799066480 is a `hidden beast` number, since 8 + 6 + 7 + 9 + 90 + 66 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86799066481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34185051 + ... + 34187589.

It is an arithmetic number, because the mean of its divisors is an integer number (403936200).

Almost surely, 2^86799066480 is an apocalyptic number.

86799066480 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 86799066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193889376000).

86799066480 is an abundant number, since it is smaller than the sum of its proper divisors (300979685520).

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

86799066480 is a wasteful number, since it uses less digits than its factorization.

86799066480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 86799066480 in words is "eighty-six billion, seven hundred ninety-nine million, sixty-six thousand, four hundred eighty".