86721859301760 has 1024 divisors, whose sum is σ = 336671344512000. Its totient is φ = 20999318667264.

The previous prime is 86721859301747. The next prime is 86721859301783. The reversal of 86721859301760 is 6710395812768.

86721859301760 is a `hidden beast` number, since 8 + 6 + 7 + 21 + 8 + 593 + 0 + 17 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14882759967 + ... + 14882765793.

It is an arithmetic number, because the mean of its divisors is an integer number (328780609875).

Almost surely, 2^{86721859301760} is an apocalyptic number.

86721859301760 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 86721859301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168335672256000).

86721859301760 is an abundant number, since it is smaller than the sum of its proper divisors (249949485210240).

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

86721859301760 is a wasteful number, since it uses less digits than its factorization.

86721859301760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 86721859301760 in words is "eighty-six trillion, seven hundred twenty-one billion, eight hundred fifty-nine million, three hundred one thousand, seven hundred sixty".