86289008420736 has 320 divisors, whose sum is σ = 280225801152000. Its totient is φ = 26140144296960.

The previous prime is 86289008420729. The next prime is 86289008420761. The reversal of 86289008420736 is 63702480098268.

86289008420736 is a `hidden beast` number, since 8 + 62 + 89 + 0 + 0 + 8 + 420 + 73 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376129681 + ... + 376359023.

It is an arithmetic number, because the mean of its divisors is an integer number (875705628600).

Almost surely, 2^{86289008420736} 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 86289008420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140112900576000).

86289008420736 is an abundant number, since it is smaller than the sum of its proper divisors (193936792731264).

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

86289008420736 is a wasteful number, since it uses less digits than its factorization.

86289008420736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232679 (or 232658 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 86289008420736 in words is "eighty-six trillion, two hundred eighty-nine billion, eight million, four hundred twenty thousand, seven hundred thirty-six".