25495050240 has 768 divisors, whose sum is σ = 101047564800. Its totient is φ = 6045696000.

The previous prime is 25495050221. The next prime is 25495050247. The reversal of 25495050240 is 4205059452.

25495050240 is a `hidden beast` number, since 25 + 4 + 95 + 0 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 25495050195 and 25495050204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25495050247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252426190 + ... + 252426290.

It is an arithmetic number, because the mean of its divisors is an integer number (131572350).

Almost surely, 2^25495050240 is an apocalyptic number.

25495050240 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 25495050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50523782400).

25495050240 is an abundant number, since it is smaller than the sum of its proper divisors (75552514560).

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

25495050240 is a wasteful number, since it uses less digits than its factorization.

25495050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 25495050240 in words is "twenty-five billion, four hundred ninety-five million, fifty thousand, two hundred forty".