10821577530 has 64 divisors (see below), whose sum is σ = 26100299520. Its totient is φ = 2871515136.

The previous prime is 10821577517. The next prime is 10821577537. The reversal of 10821577530 is 3577512801.

It is not an unprimeable number, because it can be changed into a prime (10821577537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7247464 + ... + 7248956.

It is an arithmetic number, because the mean of its divisors is an integer number (407817180).

Almost surely, 2^10821577530 is an apocalyptic number.

10821577530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10821577530 is an abundant number, since it is smaller than the sum of its proper divisors (15278721990).

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

10821577530 is a wasteful number, since it uses less digits than its factorization.

10821577530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535.

The product of its (nonzero) digits is 58800, while the sum is 39.

It can be divided in two parts, 108215 and 77530, that added together give a triangular number (185745 = T₆₀₉).

The spelling of 10821577530 in words is "ten billion, eight hundred twenty-one million, five hundred seventy-seven thousand, five hundred thirty".