21960130752 has 224 divisors, whose sum is σ = 76326796800. Its totient is φ = 6057870336.

The previous prime is 21960130747. The next prime is 21960130771. The reversal of 21960130752 is 25703106912.

21960130752 is a `hidden beast` number, since 2 + 19 + 601 + 30 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319483 + ... + 382085.

Almost surely, 2^21960130752 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 21960130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38163398400).

21960130752 is an abundant number, since it is smaller than the sum of its proper divisors (54366666048).

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

21960130752 is a wasteful number, since it uses less digits than its factorization.

21960130752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62660 (or 62644 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 21960130752 in words is "twenty-one billion, nine hundred sixty million, one hundred thirty thousand, seven hundred fifty-two".