25131828960 has 1536 divisors, whose sum is σ = 117050572800. Its totient is φ = 4897013760.

The previous prime is 25131828947. The next prime is 25131829001. The reversal of 25131828960 is 6982813152.

25131828960 is a `hidden beast` number, since 2 + 51 + 318 + 289 + 6 + 0 = 666.

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

It is a congruent 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 255 ways as a sum of consecutive naturals, for example, 302793079 + ... + 302793161.

It is an arithmetic number, because the mean of its divisors is an integer number (76204800).

Almost surely, 2^25131828960 is an apocalyptic number.

25131828960 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 25131828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58525286400).

25131828960 is an abundant number, since it is smaller than the sum of its proper divisors (91918743840).

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

25131828960 is a wasteful number, since it uses less digits than its factorization.

25131828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 25131828960 in words is "twenty-five billion, one hundred thirty-one million, eight hundred twenty-eight thousand, nine hundred sixty".