23542581687040 has 288 divisors, whose sum is σ = 62250138159552. Its totient is φ = 8475279360000.

The previous prime is 23542581687007. The next prime is 23542581687041. The reversal of 23542581687040 is 4078618524532.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23542581687041) 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, 1174125015 + ... + 1174145065.

It is an arithmetic number, because the mean of its divisors is an integer number (216146313054).

Almost surely, 2^{23542581687040} is an apocalyptic number.

23542581687040 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 23542581687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31125069079776).

23542581687040 is an abundant number, since it is smaller than the sum of its proper divisors (38707556472512).

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

23542581687040 is a wasteful number, since it uses less digits than its factorization.

23542581687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21847 (or 21833 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 23542581687040 in words is "twenty-three trillion, five hundred forty-two billion, five hundred eighty-one million, six hundred eighty-seven thousand, forty".