21535606052268 has 1152 divisors, whose sum is σ = 68457725952000. Its totient is φ = 5255845056000.

The previous prime is 21535606052251. The next prime is 21535606052293. The reversal of 21535606052268 is 86225060653512.

It is a super-2 number, since 2×21535606052268² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21535606052268.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 112751864053 + ... + 112751864243.

Almost surely, 2^{21535606052268} is an apocalyptic number.

21535606052268 is a gapful number since it is divisible by the number (28) 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 21535606052268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34228862976000).

21535606052268 is an abundant number, since it is smaller than the sum of its proper divisors (46922119899732).

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

21535606052268 is a wasteful number, since it uses less digits than its factorization.

21535606052268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 21535606052268 in words is "twenty-one trillion, five hundred thirty-five billion, six hundred six million, fifty-two thousand, two hundred sixty-eight".