10829607507 has 12 divisors (see below), whose sum is σ = 15975591840. Its totient is φ = 7066126608.

The previous prime is 10829607497. The next prime is 10829607527. The reversal of 10829607507 is 70570692801.

10829607507 is a `hidden beast` number, since 1 + 0 + 82 + 9 + 60 + 7 + 507 = 666.

It is not a de Polignac number, because 10829607507 - 2⁷ = 10829607379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10829607527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12800532 + ... + 12801377.

It is an arithmetic number, because the mean of its divisors is an integer number (1331299320).

Almost surely, 2^10829607507 is an apocalyptic number.

10829607507 is a deficient number, since it is larger than the sum of its proper divisors (5145984333).

10829607507 is a wasteful number, since it uses less digits than its factorization.

10829607507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25601962 (or 25601959 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10829607507 in words is "ten billion, eight hundred twenty-nine million, six hundred seven thousand, five hundred seven".