86409966612480 has 1664 divisors, whose sum is σ = 343968277524480. Its totient is φ = 18097876500480.

The previous prime is 86409966612469. The next prime is 86409966612547. The reversal of 86409966612480 is 8421666990468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18920507157 + ... + 18920511723.

Almost surely, 2^{86409966612480} is an apocalyptic number.

86409966612480 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 86409966612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171984138762240).

86409966612480 is an abundant number, since it is smaller than the sum of its proper divisors (257558310912000).

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

86409966612480 is a wasteful number, since it uses less digits than its factorization.

86409966612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 69.

The spelling of 86409966612480 in words is "eighty-six trillion, four hundred nine billion, nine hundred sixty-six million, six hundred twelve thousand, four hundred eighty".