10570505641344 has 192 divisors, whose sum is σ = 34929452750400. Its totient is φ = 3034594851840.

The previous prime is 10570505641307. The next prime is 10570505641361. The reversal of 10570505641344 is 44314650507501.

It is a happy number.

10570505641344 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 0 + 50 + 564 + 1 + 34 + 4 = 666.

10570505641344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10570505641344² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10570505641344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21710874 + ... + 22192409.

It is an arithmetic number, because the mean of its divisors is an integer number (181924233075).

Almost surely, 2^{10570505641344} is an apocalyptic number.

It is an amenable number.

10570505641344 is an abundant number, since it is smaller than the sum of its proper divisors (24358947109056).

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

10570505641344 is a wasteful number, since it uses less digits than its factorization.

10570505641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43903333 (or 43903318 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 10570505641344 in words is "ten trillion, five hundred seventy billion, five hundred five million, six hundred forty-one thousand, three hundred forty-four".