21573506207232 has 1280 divisors, whose sum is σ = 80419812802560. Its totient is φ = 5568262963200.

The previous prime is 21573506207219. The next prime is 21573506207233. The reversal of 21573506207232 is 23270260537512.

It is a happy number.

21573506207232 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 350 + 62 + 0 + 7 + 232 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21573506207233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6476583807 + ... + 6476587137.

It is an arithmetic number, because the mean of its divisors is an integer number (62827978752).

Almost surely, 2^{21573506207232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21573506207232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40209906401280).

21573506207232 is an abundant number, since it is smaller than the sum of its proper divisors (58846306595328).

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

21573506207232 is a wasteful number, since it uses less digits than its factorization.

21573506207232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 21573506207232 in words is "twenty-one trillion, five hundred seventy-three billion, five hundred six million, two hundred seven thousand, two hundred thirty-two".