86482541376 has 1176 divisors, whose sum is σ = 345606075360. Its totient is φ = 21163161600.

The previous prime is 86482541347. The next prime is 86482541381. The reversal of 86482541376 is 67314528468.

It is a happy number.

86482541376 is a `hidden beast` number, since 8 + 64 + 8 + 2 + 541 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 477804006 + ... + 477804186.

Almost surely, 2^86482541376 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 86482541376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172803037680).

86482541376 is an abundant number, since it is smaller than the sum of its proper divisors (259123533984).

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

86482541376 is a wasteful number, since it uses less digits than its factorization.

86482541376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 86482541376 in words is "eighty-six billion, four hundred eighty-two million, five hundred forty-one thousand, three hundred seventy-six".