21564153741312 has 540 divisors, whose sum is σ = 77092095269280. Its totient is φ = 5687203332096.

The previous prime is 21564153741241. The next prime is 21564153741337. The reversal of 21564153741312 is 21314735146512.

21564153741312 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 41 + 537 + 41 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174378639 + ... + 174502257.

Almost surely, 2^{21564153741312} 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 21564153741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38546047634640).

21564153741312 is an abundant number, since it is smaller than the sum of its proper divisors (55527941527968).

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

21564153741312 is a wasteful number, since it uses less digits than its factorization.

21564153741312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123686 (or 123644 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

Adding to 21564153741312 its reverse (21314735146512), we get a palindrome (42878888887824).

The spelling of 21564153741312 in words is "twenty-one trillion, five hundred sixty-four billion, one hundred fifty-three million, seven hundred forty-one thousand, three hundred twelve".