25136442240 has 512 divisors, whose sum is σ = 100743229440. Its totient is φ = 5188976640.

The previous prime is 25136442223. The next prime is 25136442251. The reversal of 25136442240 is 4224463152.

It is a super-3 number, since 3×25136442240³ (a number of 32 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 8210310 + ... + 8213370.

It is an arithmetic number, because the mean of its divisors is an integer number (196764120).

Almost surely, 2^25136442240 is an apocalyptic number.

25136442240 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 25136442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371614720).

25136442240 is an abundant number, since it is smaller than the sum of its proper divisors (75606787200).

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

25136442240 is a wasteful number, since it uses less digits than its factorization.

25136442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 25136442240 in words is "twenty-five billion, one hundred thirty-six million, four hundred forty-two thousand, two hundred forty".