86288457849960 has 256 divisors, whose sum is σ = 260542684200960. Its totient is φ = 22861710950400.

The previous prime is 86288457849949. The next prime is 86288457850003. The reversal of 86288457849960 is 6994875488268.

It is a super-3 number, since 3×86288457849960³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24082738329 + ... + 24082741911.

It is an arithmetic number, because the mean of its divisors is an integer number (1017744860160).

Almost surely, 2^{86288457849960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86288457849960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130271342100480).

86288457849960 is an abundant number, since it is smaller than the sum of its proper divisors (174254226351000).

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

86288457849960 is a wasteful number, since it uses less digits than its factorization.

86288457849960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 13377208320, while the sum is 84.

The spelling of 86288457849960 in words is "eighty-six trillion, two hundred eighty-eight billion, four hundred fifty-seven million, eight hundred forty-nine thousand, nine hundred sixty".