10086288448420 has 24 divisors (see below), whose sum is σ = 21227554132344. Its totient is φ = 4025687114496.

The previous prime is 10086288448381. The next prime is 10086288448427. The reversal of 10086288448420 is 2484488268001.

10086288448420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4951061109604 + 5135227338816 = 2225098^2 + 2266104^2 .

It is not an unprimeable number, because it can be changed into a prime (10086288448427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551757187 + ... + 551775466.

It is an arithmetic number, because the mean of its divisors is an integer number (884481422181).

Almost surely, 2^{10086288448420} is an apocalyptic number.

10086288448420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10086288448420 is an abundant number, since it is smaller than the sum of its proper divisors (11141265683924).

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

10086288448420 is a wasteful number, since it uses less digits than its factorization.

10086288448420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103533119 (or 1103533117 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 55.

The spelling of 10086288448420 in words is "ten trillion, eighty-six billion, two hundred eighty-eight million, four hundred forty-eight thousand, four hundred twenty".