86722080000 has 720 divisors, whose sum is σ = 313015053120. Its totient is φ = 21233664000.

The previous prime is 86722079999. The next prime is 86722080047. The reversal of 86722080000 is 8022768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 337439872 + ... + 337440128.

Almost surely, 2^86722080000 is an apocalyptic number.

86722080000 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 86722080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156507526560).

86722080000 is an abundant number, since it is smaller than the sum of its proper divisors (226292973120).

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

86722080000 is a wasteful number, since it uses less digits than its factorization.

86722080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 86722080000 in words is "eighty-six billion, seven hundred twenty-two million, eighty thousand".