23540909952 has 512 divisors, whose sum is σ = 78511472640. Its totient is φ = 6102835200.

The previous prime is 23540909947. The next prime is 23540909957. The reversal of 23540909952 is 25990904532.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23540909947) and next prime (23540909957).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23540909957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136074538 + ... + 136074710.

It is an arithmetic number, because the mean of its divisors is an integer number (153342720).

Almost surely, 2^23540909952 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 23540909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39255736320).

23540909952 is an abundant number, since it is smaller than the sum of its proper divisors (54970562688).

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

23540909952 is a wasteful number, since it uses less digits than its factorization.

23540909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 23540909952 in words is "twenty-three billion, five hundred forty million, nine hundred nine thousand, nine hundred fifty-two".