21611241362760 has 256 divisors, whose sum is σ = 75041390338560. Its totient is φ = 4876942540800.

The previous prime is 21611241362741. The next prime is 21611241362761. The reversal of 21611241362760 is 6726314211612.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (21611241362761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29587714 + ... + 30309326.

It is an arithmetic number, because the mean of its divisors is an integer number (293130431010).

Almost surely, 2^{21611241362760} is an apocalyptic number.

21611241362760 is a gapful number since it is divisible by the number (20) 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 21611241362760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37520695169280).

21611241362760 is an abundant number, since it is smaller than the sum of its proper divisors (53430148975800).

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

21611241362760 is a wasteful number, since it uses less digits than its factorization.

21611241362760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722088 (or 722084 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 21611241362760 in words is "twenty-one trillion, six hundred eleven billion, two hundred forty-one million, three hundred sixty-two thousand, seven hundred sixty".