21735091944 has 48 divisors (see below), whose sum is σ = 58872733920. Its totient is φ = 7244186400.

The previous prime is 21735091901. The next prime is 21735091949. The reversal of 21735091944 is 44919053712.

21735091944 is a `hidden beast` number, since 21 + 73 + 509 + 19 + 44 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21735091944.

It is not an unprimeable number, because it can be changed into a prime (21735091949) 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 11 ways as a sum of consecutive naturals, for example, 1059109 + ... + 1079435.

It is an arithmetic number, because the mean of its divisors is an integer number (1226515290).

Almost surely, 2^21735091944 is an apocalyptic number.

21735091944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21735091944 is an abundant number, since it is smaller than the sum of its proper divisors (37137641976).

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

21735091944 is a wasteful number, since it uses less digits than its factorization.

21735091944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35190 (or 35183 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 21735091944 in words is "twenty-one billion, seven hundred thirty-five million, ninety-one thousand, nine hundred forty-four".