21053148480 has 448 divisors, whose sum is σ = 91413665280. Its totient is φ = 4441817088.

The previous prime is 21053148401. The next prime is 21053148491. The reversal of 21053148480 is 8484135012.

21053148480 is a `hidden beast` number, since 2 + 1 + 0 + 531 + 48 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 772852 + ... + 799628.

It is an arithmetic number, because the mean of its divisors is an integer number (204048360).

Almost surely, 2^21053148480 is an apocalyptic number.

21053148480 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 21053148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45706832640).

21053148480 is an abundant number, since it is smaller than the sum of its proper divisors (70360516800).

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

21053148480 is a wasteful number, since it uses less digits than its factorization.

21053148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26823 (or 26807 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21053148480 in words is "twenty-one billion, fifty-three million, one hundred forty-eight thousand, four hundred eighty".