10790829511 has 32 divisors (see below), whose sum is σ = 13537704960. Its totient is φ = 8356012800.

The previous prime is 10790829503. The next prime is 10790829527. The reversal of 10790829511 is 11592809701.

It is a cyclic number.

It is not a de Polignac number, because 10790829511 - 2³ = 10790829503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10790829551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13338075 + ... + 13338883.

It is an arithmetic number, because the mean of its divisors is an integer number (423053280).

Almost surely, 2^10790829511 is an apocalyptic number.

10790829511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10790829511 is a deficient number, since it is larger than the sum of its proper divisors (2746875449).

10790829511 is a wasteful number, since it uses less digits than its factorization.

10790829511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695.

The product of its (nonzero) digits is 45360, while the sum is 43.

The spelling of 10790829511 in words is "ten billion, seven hundred ninety million, eight hundred twenty-nine thousand, five hundred eleven".