86261280000 has 360 divisors, whose sum is σ = 327880394688. Its totient is φ = 19716096000.

The previous prime is 86261279983. The next prime is 86261280103. The reversal of 86261280000 is 8216268.

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 39 ways as a sum of consecutive naturals, for example, 3347164 + ... + 3372836.

Almost surely, 2^86261280000 is an apocalyptic number.

86261280000 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 86261280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163940197344).

86261280000 is an abundant number, since it is smaller than the sum of its proper divisors (241619114688).

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

86261280000 is an equidigital number, since it uses as much as digits as its factorization.

86261280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25719 (or 25690 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 86261280000 its reverse (8216268), we get a palindrome (86269496268).

The spelling of 86261280000 in words is "eighty-six billion, two hundred sixty-one million, two hundred eighty thousand".