86662241280 has 704 divisors, whose sum is σ = 321650841600. Its totient is φ = 22109552640.

The previous prime is 86662241261. The next prime is 86662241299. The reversal of 86662241280 is 8214226668.

It is an interprime number because it is at equal distance from previous prime (86662241261) and next prime (86662241299).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362603401 + ... + 362603639.

It is an arithmetic number, because the mean of its divisors is an integer number (456890400).

Almost surely, 2^86662241280 is an apocalyptic number.

86662241280 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 86662241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160825420800).

86662241280 is an abundant number, since it is smaller than the sum of its proper divisors (234988600320).

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

86662241280 is a wasteful number, since it uses less digits than its factorization.

86662241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 86662241280 in words is "eighty-six billion, six hundred sixty-two million, two hundred forty-one thousand, two hundred eighty".