10213704125568 has 512 divisors, whose sum is σ = 31863559680000. Its totient is φ = 3214401822720.

The previous prime is 10213704125533. The next prime is 10213704125587. The reversal of 10213704125568 is 86552140731201.

10213704125568 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 70 + 4 + 12 + 5 + 568 = 666.

It is a super-2 number, since 2×10213704125568² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6501402223 + ... + 6501403793.

It is an arithmetic number, because the mean of its divisors is an integer number (62233515000).

Almost surely, 2^{10213704125568} is an apocalyptic number.

10213704125568 is a gapful number since it is divisible by the number (18) 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 10213704125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15931779840000).

10213704125568 is an abundant number, since it is smaller than the sum of its proper divisors (21649855554432).

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

10213704125568 is a wasteful number, since it uses less digits than its factorization.

10213704125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 10213704125568 its reverse (86552140731201), we get a palindrome (96765844856769).

The spelling of 10213704125568 in words is "ten trillion, two hundred thirteen billion, seven hundred four million, one hundred twenty-five thousand, five hundred sixty-eight".