23757825640000 has 105 divisors (see below), whose sum is σ = 58914103679431. Its totient is φ = 9502740320000.

The previous prime is 23757825639907. The next prime is 23757825640001. The reversal of 23757825640000 is 4652875732.

The square root of 23757825640000 is 4874200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1862613530176 + 21895212109824 = 1364776^2 + 4679232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23757825640001) 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 14 ways as a sum of consecutive naturals, for example, 974827815 + ... + 974852185.

Almost surely, 2^{23757825640000} is an apocalyptic number.

23757825640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23757825640000 is the 4874200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23757825640000

23757825640000 is an abundant number, since it is smaller than the sum of its proper divisors (35156278039431).

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

23757825640000 is an frugal number, since it uses more digits than its factorization.

23757825640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48774 (or 24378 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 23757825640000 in words is "twenty-three trillion, seven hundred fifty-seven billion, eight hundred twenty-five million, six hundred forty thousand".