23800775625 has 225 divisors, whose sum is σ = 50198817955. Its totient is φ = 10860960000.

The previous prime is 23800775611. The next prime is 23800775651. The reversal of 23800775625 is 52657700832.

The square root of 23800775625 is 154275.

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

23800775625 is a `hidden beast` number, since 2 + 3 + 80 + 0 + 7 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 11623211721 + 12177563904 = 107811^2 + 110352^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 23800775625 - 2⁷ = 23800775497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1400045617 + ... + 1400045633.

Almost surely, 2^23800775625 is an apocalyptic number.

23800775625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23800775625 is the 154275-th square number.

23800775625 is the 77138-th centered octagonal number.

It is an amenable number.

23800775625 is an abundant number, since it is smaller than the sum of its proper divisors (26398042330).

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

23800775625 is an frugal number, since it uses more digits than its factorization.

23800775625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 23800775625 in words is "twenty-three billion, eight hundred million, seven hundred seventy-five thousand, six hundred twenty-five".