25128475200 has 504 divisors, whose sum is σ = 98699897088. Its totient is φ = 6031196160.

The previous prime is 25128475171. The next prime is 25128475243. The reversal of 25128475200 is 257482152.

It is a happy number.

25128475200 is a `hidden beast` number, since 2 + 5 + 128 + 4 + 7 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5628169 + ... + 5632631.

Almost surely, 2^25128475200 is an apocalyptic number.

25128475200 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 25128475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49349948544).

25128475200 is an abundant number, since it is smaller than the sum of its proper divisors (73571421888).

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

25128475200 is a wasteful number, since it uses less digits than its factorization.

25128475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 25128475200 in words is "twenty-five billion, one hundred twenty-eight million, four hundred seventy-five thousand, two hundred".