86556746806992 has 480 divisors, whose sum is σ = 313349667671040. Its totient is φ = 22471347317760.

The previous prime is 86556746806991. The next prime is 86556746806997. The reversal of 86556746806992 is 29960864765568.

86556746806992 is a `hidden beast` number, since 8 + 6 + 5 + 5 + 6 + 7 + 468 + 0 + 69 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86556746806991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 625327263 + ... + 625465665.

It is an arithmetic number, because the mean of its divisors is an integer number (652811807648).

Almost surely, 2^{86556746806992} 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 86556746806992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156674833835520).

86556746806992 is an abundant number, since it is smaller than the sum of its proper divisors (226792920864048).

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

86556746806992 is a wasteful number, since it uses less digits than its factorization.

86556746806992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140533 (or 140515 counting only the distinct ones).

The product of its (nonzero) digits is 9405849600, while the sum is 81.

The spelling of 86556746806992 in words is "eighty-six trillion, five hundred fifty-six billion, seven hundred forty-six million, eight hundred six thousand, nine hundred ninety-two".