21362832540 has 192 divisors, whose sum is σ = 76044165120. Its totient is φ = 4877314560.

The previous prime is 21362832473. The next prime is 21362832611. The reversal of 21362832540 is 4523826312.

21362832540 is a `hidden beast` number, since 2 + 1 + 3 + 628 + 3 + 25 + 4 + 0 = 666.

It is a super-2 number, since 2×21362832540² (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 junction number, because it is equal to n+sod(n) for n = 21362832495 and 21362832504.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3902005 + ... + 3907475.

It is an arithmetic number, because the mean of its divisors is an integer number (396063360).

Almost surely, 2^21362832540 is an apocalyptic number.

21362832540 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 21362832540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38022082560).

21362832540 is an abundant number, since it is smaller than the sum of its proper divisors (54681332580).

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

21362832540 is a wasteful number, since it uses less digits than its factorization.

21362832540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 21362832540 in words is "twenty-one billion, three hundred sixty-two million, eight hundred thirty-two thousand, five hundred forty".