21452701729536 has 648 divisors, whose sum is σ = 78765082716320. Its totient is φ = 5495763271680.

The previous prime is 21452701729493. The next prime is 21452701729549. The reversal of 21452701729536 is 63592710725412.

21452701729536 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 2 + 70 + 17 + 29 + 536 = 666.

It is a super-2 number, since 2×21452701729536² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142383330 + ... + 142533918.

Almost surely, 2^{21452701729536} 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 21452701729536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382541358160).

21452701729536 is an abundant number, since it is smaller than the sum of its proper divisors (57312380986784).

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

21452701729536 is a wasteful number, since it uses less digits than its factorization.

21452701729536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150713 (or 150685 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 21452701729536 in words is "twenty-one trillion, four hundred fifty-two billion, seven hundred one million, seven hundred twenty-nine thousand, five hundred thirty-six".