23920753633504 has 768 divisors, whose sum is σ = 65568804618240. Its totient is φ = 8322109931520.

The previous prime is 23920753633499. The next prime is 23920753633561. The reversal of 23920753633504 is 40533635702932.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5873004012 + ... + 5873008084.

It is an arithmetic number, because the mean of its divisors is an integer number (85376047680).

Almost surely, 2^{23920753633504} 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 23920753633504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32784402309120).

23920753633504 is an abundant number, since it is smaller than the sum of its proper divisors (41648050984736).

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

23920753633504 is a wasteful number, since it uses less digits than its factorization.

23920753633504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 52.

The spelling of 23920753633504 in words is "twenty-three trillion, nine hundred twenty billion, seven hundred fifty-three million, six hundred thirty-three thousand, five hundred four".