86061993052480 has 224 divisors, whose sum is σ = 215152476618240. Its totient is φ = 32760488017920.

The previous prime is 86061993052423. The next prime is 86061993052481. The reversal of 86061993052480 is 8425039916068.

86061993052480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86061993052481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85527642 + ... + 86528038.

It is an arithmetic number, because the mean of its divisors is an integer number (960502127760).

Almost surely, 2^{86061993052480} is an apocalyptic number.

86061993052480 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 86061993052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107576238309120).

86061993052480 is an abundant number, since it is smaller than the sum of its proper divisors (129090483565760).

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

86061993052480 is a wasteful number, since it uses less digits than its factorization.

86061993052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000617 (or 1000607 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 86061993052480 in words is "eighty-six trillion, sixty-one billion, nine hundred ninety-three million, fifty-two thousand, four hundred eighty".