21052342584 has 320 divisors, whose sum is σ = 74542776000. Its totient is φ = 5401645056.

The previous prime is 21052342573. The next prime is 21052342603. The reversal of 21052342584 is 48524325012.

21052342584 is a `hidden beast` number, since 2 + 10 + 5 + 23 + 42 + 584 = 666.

It is a super-2 number, since 2×21052342584² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2176992 + ... + 2186640.

It is an arithmetic number, because the mean of its divisors is an integer number (232946175).

Almost surely, 2^21052342584 is an apocalyptic number.

21052342584 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 21052342584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37271388000).

21052342584 is an abundant number, since it is smaller than the sum of its proper divisors (53490433416).

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

21052342584 is a wasteful number, since it uses less digits than its factorization.

21052342584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9711 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 21052342584 its reverse (48524325012), we get a palindrome (69576667596).

The spelling of 21052342584 in words is "twenty-one billion, fifty-two million, three hundred forty-two thousand, five hundred eighty-four".