86033865415680 has 4224 divisors, whose sum is σ = 400814678937600. Its totient is φ = 17101083377664.

The previous prime is 86033865415579. The next prime is 86033865415733. The reversal of 86033865415680 is 8651456833068.

86033865415680 is a `hidden beast` number, since 8 + 6 + 0 + 3 + 3 + 8 + 6 + 541 + 5 + 6 + 80 = 666.

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

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 334762122112 + ... + 334762122368.

Almost surely, 2^{86033865415680} is an apocalyptic number.

86033865415680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86033865415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200407339468800).

86033865415680 is an abundant number, since it is smaller than the sum of its proper divisors (314780813521920).

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

86033865415680 is a wasteful number, since it uses less digits than its factorization.

86033865415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 86033865415680 in words is "eighty-six trillion, thirty-three billion, eight hundred sixty-five million, four hundred fifteen thousand, six hundred eighty".