21116052102624 has 384 divisors, whose sum is σ = 60483923942400. Its totient is φ = 6429002711040.

The previous prime is 21116052102569. The next prime is 21116052102713. The reversal of 21116052102624 is 42620125061112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2148336942 + ... + 2148346770.

It is an arithmetic number, because the mean of its divisors is an integer number (157510218600).

Almost surely, 2^{21116052102624} is an apocalyptic number.

21116052102624 is a gapful number since it is divisible by the number (24) 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 21116052102624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30241961971200).

21116052102624 is an abundant number, since it is smaller than the sum of its proper divisors (39367871839776).

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

21116052102624 is a wasteful number, since it uses less digits than its factorization.

21116052102624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10290 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 21116052102624 its reverse (42620125061112), we get a palindrome (63736177163736).

The spelling of 21116052102624 in words is "twenty-one trillion, one hundred sixteen billion, fifty-two million, one hundred two thousand, six hundred twenty-four".