23135566553132 has 288 divisors, whose sum is σ = 49057228136448. Its totient is φ = 9429488640000.

The previous prime is 23135566553123. The next prime is 23135566553137.

23135566553132 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23135566553137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23345677157 + ... + 23345678147.

It is an arithmetic number, because the mean of its divisors is an integer number (170337597696).

Almost surely, 2^{23135566553132} is an apocalyptic number.

23135566553132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23135566553132 is an abundant number, since it is smaller than the sum of its proper divisors (25921661583316).

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

23135566553132 is a wasteful number, since it uses less digits than its factorization.

23135566553132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1386 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 50.

It can be divided in two parts, 2313556 and 6553132, that added together give a palindrome (8866688).

The spelling of 23135566553132 in words is "twenty-three trillion, one hundred thirty-five billion, five hundred sixty-six million, five hundred fifty-three thousand, one hundred thirty-two".