21267054144 has 560 divisors, whose sum is σ = 76334404608. Its totient is φ = 5723384832.

The previous prime is 21267054119. The next prime is 21267054187. The reversal of 21267054144 is 44145076212.

21267054144 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 70 + 541 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21267054099 and 21267054108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69273639 + ... + 69273945.

Almost surely, 2^21267054144 is an apocalyptic number.

21267054144 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 21267054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38167202304).

21267054144 is an abundant number, since it is smaller than the sum of its proper divisors (55067350464).

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

21267054144 is a wasteful number, since it uses less digits than its factorization.

21267054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 21267054144 in words is "twenty-one billion, two hundred sixty-seven million, fifty-four thousand, one hundred forty-four".