21954447360 has 672 divisors, whose sum is σ = 84109891320. Its totient is φ = 5478285312.

The previous prime is 21954447337. The next prime is 21954447367. The reversal of 21954447360 is 6374445912.

21954447360 is a `hidden beast` number, since 2 + 1 + 9 + 544 + 47 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21828289536 + 126157824 = 147744^2 + 11232^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21954447367) 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 55 ways as a sum of consecutive naturals, for example, 126904234 + ... + 126904406.

Almost surely, 2^21954447360 is an apocalyptic number.

21954447360 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 21954447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42054945660).

21954447360 is an abundant number, since it is smaller than the sum of its proper divisors (62155443960).

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

21954447360 is an equidigital number, since it uses as much as digits as its factorization.

21954447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 21954447360 in words is "twenty-one billion, nine hundred fifty-four million, four hundred forty-seven thousand, three hundred sixty".