86116682600784 has 80 divisors (see below), whose sum is σ = 269658299067840. Its totient is φ = 26095964423040.

The previous prime is 86116682600761. The next prime is 86116682600807. The reversal of 86116682600784 is 48700628661168.

86116682600784 is a `hidden beast` number, since 8 + 6 + 1 + 16 + 6 + 8 + 2 + 600 + 7 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (86116682600761) and next prime (86116682600807).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9061094007 + ... + 9061103510.

It is an arithmetic number, because the mean of its divisors is an integer number (3370728738348).

Almost surely, 2^{86116682600784} is an apocalyptic number.

It is an amenable number.

86116682600784 is an abundant number, since it is smaller than the sum of its proper divisors (183541616467056).

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

86116682600784 is a wasteful number, since it uses less digits than its factorization.

86116682600784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18122197545 (or 18122197533 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 86116682600784 in words is "eighty-six trillion, one hundred sixteen billion, six hundred eighty-two million, six hundred thousand, seven hundred eighty-four".