86784253710336 has 3744 divisors, whose sum is σ = 354907941223680. Its totient is φ = 19874709504000.

The previous prime is 86784253710311. The next prime is 86784253710391. The reversal of 86784253710336 is 63301735248768.

86784253710336 is a `hidden beast` number, since 8 + 6 + 7 + 84 + 2 + 537 + 10 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 859250036686 + ... + 859250036786.

It is an arithmetic number, because the mean of its divisors is an integer number (94793787720).

Almost surely, 2^{86784253710336} 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 86784253710336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177453970611840).

86784253710336 is an abundant number, since it is smaller than the sum of its proper divisors (268123687513344).

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

86784253710336 is a wasteful number, since it uses less digits than its factorization.

86784253710336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 86784253710336 in words is "eighty-six trillion, seven hundred eighty-four billion, two hundred fifty-three million, seven hundred ten thousand, three hundred thirty-six".