21553280 has 128 divisors (see below), whose sum is σ = 62570880. Its totient is φ = 6930432.

The previous prime is 21553261. The next prime is 21553291. The reversal of 21553280 is 8235512.

21553280 = T₃₀₁ + T₃₀₂ + ... + T₅₃₈.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76019 + ... + 76301.

It is an arithmetic number, because the mean of its divisors is an integer number (488835).

Almost surely, 2^21553280 is an apocalyptic number.

21553280 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 21553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31285440).

21553280 is an abundant number, since it is smaller than the sum of its proper divisors (41017600).

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

21553280 is a wasteful number, since it uses less digits than its factorization.

21553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 21553280 is about 4642.5510228752. The cubic root of 21553280 is about 278.2943933795.

Adding to 21553280 its reverse (8235512), we get a palindrome (29788792).

The spelling of 21553280 in words is "twenty-one million, five hundred fifty-three thousand, two hundred eighty".