86560091573760 has 1920 divisors, whose sum is σ = 353760787860480. Its totient is φ = 19154633490432.

The previous prime is 86560091573731. The next prime is 86560091573773. The reversal of 86560091573760 is 6737519006568.

86560091573760 is a `hidden beast` number, since 8 + 6 + 5 + 600 + 9 + 15 + 7 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 281954695527 + ... + 281954695833.

It is an arithmetic number, because the mean of its divisors is an integer number (184250410344).

Almost surely, 2^{86560091573760} is an apocalyptic number.

86560091573760 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 86560091573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176880393930240).

86560091573760 is an abundant number, since it is smaller than the sum of its proper divisors (267200696286720).

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

86560091573760 is a wasteful number, since it uses less digits than its factorization.

86560091573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 86560091573760 in words is "eighty-six trillion, five hundred sixty billion, ninety-one million, five hundred seventy-three thousand, seven hundred sixty".