10859509572129 has 21 divisors (see below), whose sum is σ = 16281949537729. Its totient is φ = 7239613731300.

The previous prime is 10859509572083. The next prime is 10859509572133. The reversal of 10859509572129 is 92127590595801.

The square root of 10859509572129 is 3295377.

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

10859509572129 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 9 + 50 + 9 + 572 + 1 + 2 + 9 = 666.

It is not a de Polignac number, because 10859509572129 - 2³¹ = 10857362088481 is a prime.

It is a super-2 number, since 2×10859509572129² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10859509572199) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 88914154 + ... + 89036204.

Almost surely, 2^{10859509572129} is an apocalyptic number.

10859509572129 is the 3295377-th square number.

10859509572129 is the 1647689-th centered octagonal number.

It is an amenable number.

10859509572129 is a deficient number, since it is larger than the sum of its proper divisors (5422439965600).

10859509572129 is an frugal number, since it uses more digits than its factorization.

10859509572129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244120 (or 122054 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 63.

The spelling of 10859509572129 in words is "ten trillion, eight hundred fifty-nine billion, five hundred nine million, five hundred seventy-two thousand, one hundred twenty-nine".