86141421600 has 288 divisors, whose sum is σ = 315090082944. Its totient is φ = 20281958400.

The previous prime is 86141421559. The next prime is 86141421601. The reversal of 86141421600 is 612414168.

It is not an unprimeable number, because it can be changed into a prime (86141421601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657580 + ... + 777620.

It is an arithmetic number, because the mean of its divisors is an integer number (1094062788).

Almost surely, 2^86141421600 is an apocalyptic number.

86141421600 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 86141421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157545041472).

86141421600 is an abundant number, since it is smaller than the sum of its proper divisors (228948661344).

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

86141421600 is a wasteful number, since it uses less digits than its factorization.

86141421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120100 (or 120087 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 86141421600 its reverse (612414168), we get a palindrome (86753835768).

The spelling of 86141421600 in words is "eighty-six billion, one hundred forty-one million, four hundred twenty-one thousand, six hundred".