21669913073952 has 1152 divisors, whose sum is σ = 77444755734528. Its totient is φ = 5646613708800.

The previous prime is 21669913073917. The next prime is 21669913073957. The reversal of 21669913073952 is 25937031996612.

21669913073952 is a `hidden beast` number, since 2 + 166 + 9 + 91 + 307 + 39 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21669913073952.

It is not an unprimeable number, because it can be changed into a prime (21669913073957) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46402383223 + ... + 46402383689.

It is an arithmetic number, because the mean of its divisors is an integer number (67226350464).

Almost surely, 2^{21669913073952} is an apocalyptic number.

21669913073952 is a gapful number since it is divisible by the number (22) 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 21669913073952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38722377867264).

21669913073952 is an abundant number, since it is smaller than the sum of its proper divisors (55774842660576).

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

21669913073952 is a wasteful number, since it uses less digits than its factorization.

21669913073952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 21669913073952 in words is "twenty-one trillion, six hundred sixty-nine billion, nine hundred thirteen million, seventy-three thousand, nine hundred fifty-two".