21741711012 has 288 divisors, whose sum is σ = 68110640640. Its totient is φ = 5975907840.

The previous prime is 21741711011. The next prime is 21741711023. The reversal of 21741711012 is 21011714712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21741711011) 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 95 ways as a sum of consecutive naturals, for example, 15171448 + ... + 15172880.

It is an arithmetic number, because the mean of its divisors is an integer number (236495280).

Almost surely, 2^21741711012 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 21741711012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34055320320).

21741711012 is an abundant number, since it is smaller than the sum of its proper divisors (46368929628).

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

21741711012 is a wasteful number, since it uses less digits than its factorization.

21741711012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The spelling of 21741711012 in words is "twenty-one billion, seven hundred forty-one million, seven hundred eleven thousand, twelve".