21889355904 has 288 divisors, whose sum is σ = 70577079300. Its totient is φ = 6501261312.

The previous prime is 21889355899. The next prime is 21889355909. The reversal of 21889355904 is 40955398812.

21889355904 is a `hidden beast` number, since 2 + 1 + 8 + 89 + 3 + 559 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21889355899) and next prime (21889355909).

It can be written as a sum of positive squares in 6 ways, for example, as 1654862400 + 20234493504 = 40680^2 + 142248^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (21889355909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5644014 + ... + 5647890.

Almost surely, 2^21889355904 is an apocalyptic number.

21889355904 is a gapful number since it is divisible by the number (24) 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 21889355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35288539650).

21889355904 is an abundant number, since it is smaller than the sum of its proper divisors (48687723396).

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

21889355904 is a wasteful number, since it uses less digits than its factorization.

21889355904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 21889355904 in words is "twenty-one billion, eight hundred eighty-nine million, three hundred fifty-five thousand, nine hundred four".