10129273753104 has 1215 divisors, whose sum is σ = 34890653301231. Its totient is φ = 2846054724480.

The previous prime is 10129273753021. The next prime is 10129273753171. The reversal of 10129273753104 is 40135737292101.

The square root of 10129273753104 is 3182652.

It is a perfect power (a square), and thus also a powerful number.

10129273753104 is a `hidden beast` number, since 10 + 1 + 292 + 7 + 37 + 5 + 310 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10129273753104.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 215516462809 + ... + 215516462855.

Almost surely, 2^{10129273753104} is an apocalyptic number.

10129273753104 is the 3182652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10129273753104

10129273753104 is an abundant number, since it is smaller than the sum of its proper divisors (24761379548127).

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

10129273753104 is an frugal number, since it uses more digits than its factorization.

10129273753104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10129273753104 in words is "ten trillion, one hundred twenty-nine billion, two hundred seventy-three million, seven hundred fifty-three thousand, one hundred four".