86742564360912 has 240 divisors, whose sum is σ = 264011595337152. Its totient is φ = 26475252019200.

The previous prime is 86742564360887. The next prime is 86742564361003. The reversal of 86742564360912 is 21906346524768.

86742564360912 is a `hidden beast` number, since 8 + 6 + 7 + 4 + 2 + 5 + 6 + 4 + 3 + 609 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86742564360912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049462787 + ... + 1049545437.

It is a 1-persistent number, because it is pandigital, but 2⋅86742564360912 = 173485128721824 is not.

Almost surely, 2^{86742564360912} 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 86742564360912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132005797668576).

86742564360912 is an abundant number, since it is smaller than the sum of its proper divisors (177269030976240).

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

86742564360912 is a wasteful number, since it uses less digits than its factorization.

86742564360912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94306 (or 94297 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 86742564360912 in words is "eighty-six trillion, seven hundred forty-two billion, five hundred sixty-four million, three hundred sixty thousand, nine hundred twelve".