86614323120 has 240 divisors, whose sum is σ = 313462749600. Its totient is φ = 21306322944.

The previous prime is 86614323119. The next prime is 86614323137. The reversal of 86614323120 is 2132341668.

86614323120 is a `hidden beast` number, since 8 + 6 + 614 + 3 + 2 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25111156 + ... + 25114604.

It is an arithmetic number, because the mean of its divisors is an integer number (1306094790).

Almost surely, 2^86614323120 is an apocalyptic number.

86614323120 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 86614323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156731374800).

86614323120 is an abundant number, since it is smaller than the sum of its proper divisors (226848426480).

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

86614323120 is a wasteful number, since it uses less digits than its factorization.

86614323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 86614323120 its reverse (2132341668), we get a palindrome (88746664788).

The spelling of 86614323120 in words is "eighty-six billion, six hundred fourteen million, three hundred twenty-three thousand, one hundred twenty".