86664789421200 has 480 divisors, whose sum is σ = 308948811724800. Its totient is φ = 23074208340480.

The previous prime is 86664789421193. The next prime is 86664789421241. The reversal of 86664789421200 is 212498746668.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27057378799 + ... + 27057382001.

It is an arithmetic number, because the mean of its divisors is an integer number (643643357760).

Almost surely, 2^{86664789421200} is an apocalyptic number.

86664789421200 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 86664789421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154474405862400).

86664789421200 is an abundant number, since it is smaller than the sum of its proper divisors (222284022303600).

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

86664789421200 is a wasteful number, since it uses less digits than its factorization.

86664789421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 86664789421200 in words is "eighty-six trillion, six hundred sixty-four billion, seven hundred eighty-nine million, four hundred twenty-one thousand, two hundred".