23878126575625 has 75 divisors (see below), whose sum is σ = 34817782017491. Its totient is φ = 16369467828000.

The previous prime is 23878126575619. The next prime is 23878126575637. The reversal of 23878126575625 is 52657562187832.

The square root of 23878126575625 is 4886525.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18921429915129 + 4956696660496 = 4349877^2 + 2226364^2 .

It is not a de Polignac number, because 23878126575625 - 2⁷ = 23878126575497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 5985991131 + ... + 5985995119.

Almost surely, 2^{23878126575625} is an apocalyptic number.

23878126575625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23878126575625 is the 4886525-th square number.

23878126575625 is the 2443263-rd centered octagonal number.

It is an amenable number.

23878126575625 is a deficient number, since it is larger than the sum of its proper divisors (10939655441866).

23878126575625 is an frugal number, since it uses more digits than its factorization.

23878126575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8026 (or 4001 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 67.

The spelling of 23878126575625 in words is "twenty-three trillion, eight hundred seventy-eight billion, one hundred twenty-six million, five hundred seventy-five thousand, six hundred twenty-five".