10829539505664 has 240 divisors, whose sum is σ = 35890664546880. Its totient is φ = 3108958433280.

The previous prime is 10829539505651. The next prime is 10829539505677. The reversal of 10829539505664 is 46650593592801.

10829539505664 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 95 + 39 + 505 + 6 + 6 + 4 = 666.

10829539505664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10829539505651) and next prime (10829539505677).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4659322 + ... + 6585465.

It is an arithmetic number, because the mean of its divisors is an integer number (149544435612).

Almost surely, 2^{10829539505664} is an apocalyptic number.

It is an amenable number.

10829539505664 is an abundant number, since it is smaller than the sum of its proper divisors (25061125041216).

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

10829539505664 is a wasteful number, since it uses less digits than its factorization.

10829539505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11244841 (or 11244822 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 10829539505664 in words is "ten trillion, eight hundred twenty-nine billion, five hundred thirty-nine million, five hundred five thousand, six hundred sixty-four".