10013399488224 has 960 divisors, whose sum is σ = 34670135808000. Its totient is φ = 2803081282560.

The previous prime is 10013399488217. The next prime is 10013399488247. The reversal of 10013399488224 is 42288499331001.

10013399488224 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 339 + 9 + 4 + 88 + 224 = 666.

10013399488224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10013399488224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3552109087 + ... + 3552111905.

It is an arithmetic number, because the mean of its divisors is an integer number (36114724800).

Almost surely, 2^{10013399488224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013399488224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335067904000).

10013399488224 is an abundant number, since it is smaller than the sum of its proper divisors (24656736319776).

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

10013399488224 is a wasteful number, since it uses less digits than its factorization.

10013399488224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 10013399488224 in words is "ten trillion, thirteen billion, three hundred ninety-nine million, four hundred eighty-eight thousand, two hundred twenty-four".