86255040000 has 200 divisors, whose sum is σ = 287147302200. Its totient is φ = 23001088000.

The previous prime is 86255039987. The next prime is 86255040037. The reversal of 86255040000 is 4055268.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 86255040000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 915076 + ... + 1004924.

It is an arithmetic number, because the mean of its divisors is an integer number (1435736511).

Almost surely, 2^86255040000 is an apocalyptic number.

86255040000 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 86255040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143573651100).

86255040000 is an abundant number, since it is smaller than the sum of its proper divisors (200892262200).

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

86255040000 is an frugal number, since it uses more digits than its factorization.

86255040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89890 (or 89859 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 86255040000 its reverse (4055268), we get a palindrome (86259095268).

The spelling of 86255040000 in words is "eighty-six billion, two hundred fifty-five million, forty thousand".