21111335079648 has 192 divisors, whose sum is σ = 62607983961600. Its totient is φ = 6170045736960.

The previous prime is 21111335079641. The next prime is 21111335079683. The reversal of 21111335079648 is 84697053311112.

It is a self number, because there is not a number n which added to its sum of digits gives 21111335079648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111335079641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27768390 + ... + 28518522.

It is an arithmetic number, because the mean of its divisors is an integer number (326083249800).

It is a 1-persistent number, because it is pandigital, but 2⋅21111335079648 = 42222670159296 is not.

Almost surely, 2^{21111335079648} 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 21111335079648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31303991980800).

21111335079648 is an abundant number, since it is smaller than the sum of its proper divisors (41496648881952).

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

21111335079648 is a wasteful number, since it uses less digits than its factorization.

21111335079648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751105 (or 751097 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 21111335079648 in words is "twenty-one trillion, one hundred eleven billion, three hundred thirty-five million, seventy-nine thousand, six hundred forty-eight".