21053272240 has 640 divisors, whose sum is σ = 70375495680. Its totient is φ = 5640192000.

The previous prime is 21053272223. The next prime is 21053272241. The reversal of 21053272240 is 4227235012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21053272199 and 21053272208.

It is not an unprimeable number, because it can be changed into a prime (21053272241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 153673452 + ... + 153673588.

It is an arithmetic number, because the mean of its divisors is an integer number (109961712).

Almost surely, 2^21053272240 is an apocalyptic number.

21053272240 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 21053272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35187747840).

21053272240 is an abundant number, since it is smaller than the sum of its proper divisors (49322223440).

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

21053272240 is a wasteful number, since it uses less digits than its factorization.

21053272240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 21053272240 in words is "twenty-one billion, fifty-three million, two hundred seventy-two thousand, two hundred forty".