86940083135616 has 256 divisors, whose sum is σ = 249826890055680. Its totient is φ = 26718088601600.

The previous prime is 86940083135603. The next prime is 86940083135669. The reversal of 86940083135616 is 61653138004968.

It is a super-2 number, since 2×86940083135616² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86940083135616.

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 31 ways as a sum of consecutive naturals, for example, 28608961 + ... + 31501631.

It is an arithmetic number, because the mean of its divisors is an integer number (975886289280).

Almost surely, 2^{86940083135616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86940083135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124913445027840).

86940083135616 is an abundant number, since it is smaller than the sum of its proper divisors (162886806920064).

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

86940083135616 is a wasteful number, since it uses less digits than its factorization.

86940083135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892835 (or 2892823 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 86940083135616 in words is "eighty-six trillion, nine hundred forty billion, eighty-three million, one hundred thirty-five thousand, six hundred sixteen".