86541000480 has 288 divisors, whose sum is σ = 332934537600. Its totient is φ = 20979509760.

The previous prime is 86541000467. The next prime is 86541000509. The reversal of 86541000480 is 8400014568.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439941 + ... + 605499.

It is an arithmetic number, because the mean of its divisors is an integer number (1156022700).

Almost surely, 2^86541000480 is an apocalyptic number.

86541000480 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 86541000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166467268800).

86541000480 is an abundant number, since it is smaller than the sum of its proper divisors (246393537120).

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

86541000480 is a wasteful number, since it uses less digits than its factorization.

86541000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165605 (or 165580 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 86541000480 in words is "eighty-six billion, five hundred forty-one million, four hundred eighty", and thus it is an aban number.