86514480000 has 1200 divisors, whose sum is σ = 352791133200. Its totient is φ = 21026304000.

The previous prime is 86514479983. The next prime is 86514480007. The reversal of 86514480000 is 8441568.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86514480007) 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 149 ways as a sum of consecutive naturals, for example, 1095119961 + ... + 1095120039.

It is an arithmetic number, because the mean of its divisors is an integer number (293992611).

Almost surely, 2^86514480000 is an apocalyptic number.

86514480000 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 86514480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176395566600).

86514480000 is an abundant number, since it is smaller than the sum of its proper divisors (266276653200).

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

86514480000 is an equidigital number, since it uses as much as digits as its factorization.

86514480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 86514480000 in words is "eighty-six billion, five hundred fourteen million, four hundred eighty thousand".