25130188800 has 540 divisors, whose sum is σ = 95552110836. Its totient is φ = 6291456000.

The previous prime is 25130188799. The next prime is 25130188813. The reversal of 25130188800 is 888103152.

It can be written as a sum of positive squares in 6 ways, for example, as 2931572736 + 22198616064 = 54144^2 + 148992^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62668600 + ... + 62669000.

Almost surely, 2^25130188800 is an apocalyptic number.

25130188800 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 25130188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47776055418).

25130188800 is an abundant number, since it is smaller than the sum of its proper divisors (70421922036).

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

25130188800 is a wasteful number, since it uses less digits than its factorization.

25130188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 25130188800 in words is "twenty-five billion, one hundred thirty million, one hundred eighty-eight thousand, eight hundred".