21144375900 has 216 divisors, whose sum is σ = 67903275440. Its totient is φ = 5501675520.

The previous prime is 21144375883. The next prime is 21144375907. The reversal of 21144375900 is 957344112.

21144375900 is a `hidden beast` number, since 21 + 1 + 4 + 43 + 7 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144375907) 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 71 ways as a sum of consecutive naturals, for example, 6571092 + ... + 6574308.

Almost surely, 2^21144375900 is an apocalyptic number.

21144375900 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 21144375900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33951637720).

21144375900 is an abundant number, since it is smaller than the sum of its proper divisors (46758899540).

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

21144375900 is a wasteful number, since it uses less digits than its factorization.

21144375900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21144375900 in words is "twenty-one billion, one hundred forty-four million, three hundred seventy-five thousand, nine hundred".