86147546880 has 288 divisors, whose sum is σ = 284800396608. Its totient is φ = 22177382400.

The previous prime is 86147546879. The next prime is 86147546899. The reversal of 86147546880 is 8864574168.

It is a self number, because there is not a number n which added to its sum of digits gives 86147546880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15268860 + ... + 15274500.

It is an arithmetic number, because the mean of its divisors is an integer number (988890266).

Almost surely, 2^86147546880 is an apocalyptic number.

86147546880 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 86147546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142400198304).

86147546880 is an abundant number, since it is smaller than the sum of its proper divisors (198652849728).

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

86147546880 is a wasteful number, since it uses less digits than its factorization.

86147546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5803 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 86147546880 in words is "eighty-six billion, one hundred forty-seven million, five hundred forty-six thousand, eight hundred eighty".