86395541760 has 576 divisors, whose sum is σ = 345291448320. Its totient is φ = 20265984000.

The previous prime is 86395541707. The next prime is 86395541779. The reversal of 86395541760 is 6714559368.

86395541760 is a `hidden beast` number, since 8 + 6 + 3 + 95 + 541 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 86395541697 and 86395541706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11781295 + ... + 11788625.

It is an arithmetic number, because the mean of its divisors is an integer number (599464320).

Almost surely, 2^86395541760 is an apocalyptic number.

86395541760 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 86395541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172645724160).

86395541760 is an abundant number, since it is smaller than the sum of its proper divisors (258895906560).

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

86395541760 is a wasteful number, since it uses less digits than its factorization.

86395541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7403 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 86395541760 in words is "eighty-six billion, three hundred ninety-five million, five hundred forty-one thousand, seven hundred sixty".