23656755765632 has 128 divisors (see below), whose sum is σ = 52610248051200. Its totient is φ = 10503590717440.

The previous prime is 23656755765607. The next prime is 23656755765653.

It is a happy number.

23656755765632 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33332423 + ... + 34034745.

It is an arithmetic number, because the mean of its divisors is an integer number (411017562900).

Almost surely, 2^{23656755765632} is an apocalyptic number.

23656755765632 is a gapful number since it is divisible by the number (22) 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 23656755765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26305124025600).

23656755765632 is an abundant number, since it is smaller than the sum of its proper divisors (28953492285568).

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

23656755765632 is a wasteful number, since it uses less digits than its factorization.

23656755765632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702904 (or 702892 counting only the distinct ones).

The product of its digits is 1428840000, while the sum is 68.

The spelling of 23656755765632 in words is "twenty-three trillion, six hundred fifty-six billion, seven hundred fifty-five million, seven hundred sixty-five thousand, six hundred thirty-two".