86864868720 has 960 divisors, whose sum is σ = 368668784640. Its totient is φ = 18409586688.

The previous prime is 86864868691. The next prime is 86864868733. The reversal of 86864868720 is 2786846868.

86864868720 is a `hidden beast` number, since 8 + 6 + 86 + 486 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 450076944 + ... + 450077136.

It is an arithmetic number, because the mean of its divisors is an integer number (384029984).

Almost surely, 2^86864868720 is an apocalyptic number.

86864868720 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 86864868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184334392320).

86864868720 is an abundant number, since it is smaller than the sum of its proper divisors (281803915920).

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

86864868720 is a wasteful number, since it uses less digits than its factorization.

86864868720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 86864868720 in words is "eighty-six billion, eight hundred sixty-four million, eight hundred sixty-eight thousand, seven hundred twenty".