10829573506 has 32 divisors (see below), whose sum is σ = 17259096960. Its totient is φ = 5085742464.

The previous prime is 10829573477. The next prime is 10829573561. The reversal of 10829573506 is 60537592801.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761941 + ... + 776023.

It is an arithmetic number, because the mean of its divisors is an integer number (539346780).

Almost surely, 2^10829573506 is an apocalyptic number.

10829573506 is a deficient number, since it is larger than the sum of its proper divisors (6429523454).

10829573506 is a wasteful number, since it uses less digits than its factorization.

10829573506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14410.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 10829573506 in words is "ten billion, eight hundred twenty-nine million, five hundred seventy-three thousand, five hundred six".