86376041472 has 352 divisors, whose sum is σ = 290730857472. Its totient is φ = 22215131136.

The previous prime is 86376041471. The next prime is 86376041473. The reversal of 86376041472 is 27414067368.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86376041471) and next prime (86376041473).

It is a super-3 number, since 3×86376041472³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86376041471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8402928 + ... + 8413200.

It is an arithmetic number, because the mean of its divisors is an integer number (825939936).

Almost surely, 2^86376041472 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 86376041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145365428736).

86376041472 is an abundant number, since it is smaller than the sum of its proper divisors (204354816000).

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

86376041472 is a wasteful number, since it uses less digits than its factorization.

86376041472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 86376041472 in words is "eighty-six billion, three hundred seventy-six million, forty-one thousand, four hundred seventy-two".