21223540804704 has 288 divisors, whose sum is σ = 64239168026880. Its totient is φ = 6010164458496.

The previous prime is 21223540804681. The next prime is 21223540804721. The reversal of 21223540804704 is 40740804532212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7480978774 + ... + 7480981610.

It is an arithmetic number, because the mean of its divisors is an integer number (223052666760).

Almost surely, 2^{21223540804704} is an apocalyptic number.

21223540804704 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 21223540804704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32119584013440).

21223540804704 is an abundant number, since it is smaller than the sum of its proper divisors (43015627222176).

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

21223540804704 is a wasteful number, since it uses less digits than its factorization.

21223540804704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 21223540804704 in words is "twenty-one trillion, two hundred twenty-three billion, five hundred forty million, eight hundred four thousand, seven hundred four".