86313930013440 has 1296 divisors, whose sum is σ = 328884273139968. Its totient is φ = 21670342926336.

The previous prime is 86313930013391. The next prime is 86313930013477. The reversal of 86313930013440 is 4431003931368.

86313930013440 is a `hidden beast` number, since 8 + 63 + 139 + 3 + 0 + 0 + 13 + 440 = 666.

86313930013440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 18751666179 + ... + 18751670781.

Almost surely, 2^{86313930013440} is an apocalyptic number.

86313930013440 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 86313930013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164442136569984).

86313930013440 is an abundant number, since it is smaller than the sum of its proper divisors (242570343126528).

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

86313930013440 is a wasteful number, since it uses less digits than its factorization.

86313930013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 86313930013440 in words is "eighty-six trillion, three hundred thirteen billion, nine hundred thirty million, thirteen thousand, four hundred forty".