21954180960 has 144 divisors (see below), whose sum is σ = 74957762880. Its totient is φ = 5851392000.

The previous prime is 21954180947. The next prime is 21954181003. The reversal of 21954180960 is 6908145912.

21954180960 is a `hidden beast` number, since 2 + 19 + 541 + 8 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4618585 + ... + 4623335.

It is an arithmetic number, because the mean of its divisors is an integer number (520540020).

Almost surely, 2^21954180960 is an apocalyptic number.

21954180960 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 21954180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37478881440).

21954180960 is an abundant number, since it is smaller than the sum of its proper divisors (53003581920).

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

21954180960 is a wasteful number, since it uses less digits than its factorization.

21954180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 21954180960 in words is "twenty-one billion, nine hundred fifty-four million, one hundred eighty thousand, nine hundred sixty".