21111933829152 has 192 divisors, whose sum is σ = 56589196769280. Its totient is φ = 6890490700800.

The previous prime is 21111933829123. The next prime is 21111933829199. The reversal of 21111933829152 is 25192833911112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 401792002 + ... + 401844542.

It is an arithmetic number, because the mean of its divisors is an integer number (294735399840).

Almost surely, 2^{21111933829152} 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 21111933829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28294598384640).

21111933829152 is an abundant number, since it is smaller than the sum of its proper divisors (35477262940128).

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

21111933829152 is a wasteful number, since it uses less digits than its factorization.

21111933829152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53087 (or 53079 counting only the distinct ones).

The product of its digits is 233280, while the sum is 48.

The spelling of 21111933829152 in words is "twenty-one trillion, one hundred eleven billion, nine hundred thirty-three million, eight hundred twenty-nine thousand, one hundred fifty-two".