86647441824000 has 2160 divisors, whose sum is σ = 339179723042160. Its totient is φ = 21949371187200.

The previous prime is 86647441823983. The next prime is 86647441824043. The reversal of 86647441824000 is 42814474668.

86647441824000 is a `hidden beast` number, since 86 + 6 + 4 + 7 + 441 + 82 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1550801977344 + 85096639846656 = 1245312^2 + 9224784^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 211851935796 + ... + 211851936204.

Almost surely, 2^{86647441824000} is an apocalyptic number.

86647441824000 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 86647441824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169589861521080).

86647441824000 is an abundant number, since it is smaller than the sum of its proper divisors (252532281218160).

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

86647441824000 is an equidigital number, since it uses as much as digits as its factorization.

86647441824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 86647441824000 in words is "eighty-six trillion, six hundred forty-seven billion, four hundred forty-one million, eight hundred twenty-four thousand".