10829612064 has 48 divisors (see below), whose sum is σ = 28893775680. Its totient is φ = 3550690560.

The previous prime is 10829612041. The next prime is 10829612081. The reversal of 10829612064 is 46021692801.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918804 + ... + 930515.

It is an arithmetic number, because the mean of its divisors is an integer number (601953660).

Almost surely, 2^10829612064 is an apocalyptic number.

It is an amenable number.

10829612064 is an abundant number, since it is smaller than the sum of its proper divisors (18064163616).

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

10829612064 is a wasteful number, since it uses less digits than its factorization.

10829612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849393 (or 1849385 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 10829612064 in words is "ten billion, eight hundred twenty-nine million, six hundred twelve thousand, sixty-four".