86279980800 has 216 divisors, whose sum is σ = 306646022704. Its totient is φ = 21238087680.

The previous prime is 86279980771. The next prime is 86279980807. The reversal of 86279980800 is 808997268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86279980807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76764 + ... + 422436.

Almost surely, 2^86279980800 is an apocalyptic number.

86279980800 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 86279980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153323011352).

86279980800 is an abundant number, since it is smaller than the sum of its proper divisors (220366041904).

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

86279980800 is a wasteful number, since it uses less digits than its factorization.

86279980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345715 (or 345696 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 86279980800 in words is "eighty-six billion, two hundred seventy-nine million, nine hundred eighty thousand, eight hundred".