21133839552 has 336 divisors, whose sum is σ = 68299096320. Its totient is φ = 5742643200.

The previous prime is 21133839539. The next prime is 21133839557. The reversal of 21133839552 is 25593833112.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (21133839557) 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 47 ways as a sum of consecutive naturals, for example, 19370527 + ... + 19371617.

It is an arithmetic number, because the mean of its divisors is an integer number (203271120).

Almost surely, 2^21133839552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21133839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34149548160).

21133839552 is an abundant number, since it is smaller than the sum of its proper divisors (47165256768).

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

21133839552 is a wasteful number, since it uses less digits than its factorization.

21133839552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1203 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The spelling of 21133839552 in words is "twenty-one billion, one hundred thirty-three million, eight hundred thirty-nine thousand, five hundred fifty-two".