21765441942088 has 128 divisors (see below), whose sum is σ = 45288933580800. Its totient is φ = 9741284868096.

The previous prime is 21765441942067. The next prime is 21765441942191. The reversal of 21765441942088 is 88024914456712.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2297624520 + ... + 2297633992.

It is an arithmetic number, because the mean of its divisors is an integer number (353819793600).

Almost surely, 2^{21765441942088} 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 21765441942088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644466790400).

21765441942088 is an abundant number, since it is smaller than the sum of its proper divisors (23523491638712).

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

21765441942088 is a wasteful number, since it uses less digits than its factorization.

21765441942088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11471 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 61.

The spelling of 21765441942088 in words is "twenty-one trillion, seven hundred sixty-five billion, four hundred forty-one million, nine hundred forty-two thousand, eighty-eight".