21752661306120 has 128 divisors (see below), whose sum is σ = 66393348624000. Its totient is φ = 5699875184640.

The previous prime is 21752661306097. The next prime is 21752661306121. The reversal of 21752661306120 is 2160316625712.

It is not an unprimeable number, because it can be changed into a prime (21752661306121) 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, 15387480 + ... + 16741560.

It is an arithmetic number, because the mean of its divisors is an integer number (518698036125).

Almost surely, 2^{21752661306120} is an apocalyptic number.

21752661306120 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 21752661306120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33196674312000).

21752661306120 is an abundant number, since it is smaller than the sum of its proper divisors (44640687317880).

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

21752661306120 is a wasteful number, since it uses less digits than its factorization.

21752661306120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356423 (or 1356419 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 21752661306120 in words is "twenty-one trillion, seven hundred fifty-two billion, six hundred sixty-one million, three hundred six thousand, one hundred twenty".