10013721623560 has 64 divisors (see below), whose sum is σ = 23308372306800. Its totient is φ = 3867273446400.

The previous prime is 10013721623527. The next prime is 10013721623569. The reversal of 10013721623560 is 6532612731001.

It can be written as a sum of positive squares in 8 ways, for example, as 4510840767876 + 5502880855684 = 2123874^2 + 2345822^2 .

It is not an unprimeable number, because it can be changed into a prime (10013721623569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63792370 + ... + 63949150.

Almost surely, 2^{10013721623560} is an apocalyptic number.

10013721623560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013721623560 is an abundant number, since it is smaller than the sum of its proper divisors (13294650683240).

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

10013721623560 is a wasteful number, since it uses less digits than its factorization.

10013721623560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211882 (or 211878 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 10013721623560 in words is "ten trillion, thirteen billion, seven hundred twenty-one million, six hundred twenty-three thousand, five hundred sixty".