21900269160 has 768 divisors, whose sum is σ = 93078720000. Its totient is φ = 4482846720.

The previous prime is 21900269129. The next prime is 21900269161. The reversal of 21900269160 is 6196200912.

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

It is not an unprimeable number, because it can be changed into a prime (21900269161) 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 191 ways as a sum of consecutive naturals, for example, 81413506 + ... + 81413774.

It is an arithmetic number, because the mean of its divisors is an integer number (121196250).

Almost surely, 2^21900269160 is an apocalyptic number.

21900269160 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 21900269160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46539360000).

21900269160 is an abundant number, since it is smaller than the sum of its proper divisors (71178450840).

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

21900269160 is a wasteful number, since it uses less digits than its factorization.

21900269160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 21900269160 in words is "twenty-one billion, nine hundred million, two hundred sixty-nine thousand, one hundred sixty".