10629082791 has 16 divisors (see below), whose sum is σ = 15752160000. Its totient is φ = 7083638424.

The previous prime is 10629082787. The next prime is 10629082801. The reversal of 10629082791 is 19728092601.

10629082791 is a `hidden beast` number, since 10 + 629 + 0 + 8 + 2 + 7 + 9 + 1 = 666.

It is not a de Polignac number, because 10629082791 - 2² = 10629082787 is a prime.

It is a super-2 number, since 2×10629082791² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10629082721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15340 + ... + 146606.

It is an arithmetic number, because the mean of its divisors is an integer number (984510000).

Almost surely, 2^10629082791 is an apocalyptic number.

10629082791 is a deficient number, since it is larger than the sum of its proper divisors (5123077209).

10629082791 is a wasteful number, since it uses less digits than its factorization.

10629082791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134275 (or 134269 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10629082791 in words is "ten billion, six hundred twenty-nine million, eighty-two thousand, seven hundred ninety-one".