21115715526752 has 192 divisors, whose sum is σ = 53116251406848. Its totient is φ = 8022824448000.

The previous prime is 21115715526739. The next prime is 21115715526757. The reversal of 21115715526752 is 25762551751112.

It is a self number, because there is not a number n which added to its sum of digits gives 21115715526752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21115715526757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243525518 + ... + 243612210.

It is an arithmetic number, because the mean of its divisors is an integer number (276647142744).

Almost surely, 2^{21115715526752} is an apocalyptic number.

21115715526752 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 21115715526752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558125703424).

21115715526752 is an abundant number, since it is smaller than the sum of its proper divisors (32000535880096).

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

21115715526752 is a wasteful number, since it uses less digits than its factorization.

21115715526752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89173 (or 89165 counting only the distinct ones).

The product of its digits is 1470000, while the sum is 50.

The spelling of 21115715526752 in words is "twenty-one trillion, one hundred fifteen billion, seven hundred fifteen million, five hundred twenty-six thousand, seven hundred fifty-two".