25119642240 has 1920 divisors, whose sum is σ = 121563763200. Its totient is φ = 4877107200.

The previous prime is 25119642239. The next prime is 25119642253. The reversal of 25119642240 is 4224691152.

It is a happy number.

25119642240 is a `hidden beast` number, since 2 + 5 + 1 + 1 + 9 + 642 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 25119642195 and 25119642204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 810311025 + ... + 810311055.

It is an arithmetic number, because the mean of its divisors is an integer number (63314460).

Almost surely, 2^25119642240 is an apocalyptic number.

25119642240 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 25119642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60781881600).

25119642240 is an abundant number, since it is smaller than the sum of its proper divisors (96444120960).

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

25119642240 is a wasteful number, since it uses less digits than its factorization.

25119642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 25119642240 in words is "twenty-five billion, one hundred nineteen million, six hundred forty-two thousand, two hundred forty".