10221435504 has 120 divisors (see below), whose sum is σ = 34615507680. Its totient is φ = 2748616704.

The previous prime is 10221435503. The next prime is 10221435517. The reversal of 10221435504 is 40553412201.

10221435504 is a `hidden beast` number, since 1 + 0 + 221 + 435 + 5 + 0 + 4 = 666.

10221435504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221435503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281109 + ... + 315380.

It is an arithmetic number, because the mean of its divisors is an integer number (288462564).

Almost surely, 2^10221435504 is an apocalyptic number.

10221435504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10221435504 is an abundant number, since it is smaller than the sum of its proper divisors (24394072176).

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

10221435504 is a wasteful number, since it uses less digits than its factorization.

10221435504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596527 (or 596518 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10221435504 its reverse (40553412201), we get a palindrome (50774847705).

The spelling of 10221435504 in words is "ten billion, two hundred twenty-one million, four hundred thirty-five thousand, five hundred four".