21162184400 has 120 divisors (see below), whose sum is σ = 58170175680. Its totient is φ = 7247508480.

The previous prime is 21162184387. The next prime is 21162184411. The reversal of 21162184400 is 448126112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2849492 + ... + 2856908.

It is an arithmetic number, because the mean of its divisors is an integer number (484751464).

Almost surely, 2^21162184400 is an apocalyptic number.

21162184400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21162184400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29085087840).

21162184400 is an abundant number, since it is smaller than the sum of its proper divisors (37007991280).

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

21162184400 is a wasteful number, since it uses less digits than its factorization.

21162184400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 21162184400 in words is "twenty-one billion, one hundred sixty-two million, one hundred eighty-four thousand, four hundred".