86054400000 has 780 divisors, whose sum is σ = 325187483544. Its totient is φ = 22671360000.

The previous prime is 86054399999. The next prime is 86054400001. The reversal of 86054400000 is 445068.

It is an interprime number because it is at equal distance from previous prime (86054399999) and next prime (86054400001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86054400001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1036799959 + ... + 1036800041.

Almost surely, 2^86054400000 is an apocalyptic number.

86054400000 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 86054400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162593741772).

86054400000 is an abundant number, since it is smaller than the sum of its proper divisors (239133083544).

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

86054400000 is an frugal number, since it uses more digits than its factorization.

86054400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 86054400000 its reverse (445068), we get a palindrome (86054845068).

The spelling of 86054400000 in words is "eighty-six billion, fifty-four million, four hundred thousand".