86305740454080 has 4032 divisors, whose sum is σ = 389181982924800. Its totient is φ = 17513691955200.

The previous prime is 86305740454057. The next prime is 86305740454081. The reversal of 86305740454080 is 8045404750368.

It is a happy number.

86305740454080 is a `hidden beast` number, since 8 + 6 + 3 + 0 + 57 + 40 + 4 + 540 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is not an unprimeable number, because it can be changed into a prime (86305740454081) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 409031945175 + ... + 409031945385.

Almost surely, 2^{86305740454080} is an apocalyptic number.

86305740454080 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 86305740454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194590991462400).

86305740454080 is an abundant number, since it is smaller than the sum of its proper divisors (302876242470720).

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

86305740454080 is a wasteful number, since it uses less digits than its factorization.

86305740454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 86305740454080 in words is "eighty-six trillion, three hundred five billion, seven hundred forty million, four hundred fifty-four thousand, eighty".