25017830730240 has 640 divisors, whose sum is σ = 85577491118592. Its totient is φ = 6220712509440.

The previous prime is 25017830730229. The next prime is 25017830730241. The reversal of 25017830730240 is 4203703871052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 25017830730192 and 25017830730201.

It is not an unprimeable number, because it can be changed into a prime (25017830730241) 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, 1469812930 + ... + 1469829950.

Almost surely, 2^{25017830730240} is an apocalyptic number.

25017830730240 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 25017830730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42788745559296).

25017830730240 is an abundant number, since it is smaller than the sum of its proper divisors (60559660388352).

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

25017830730240 is a wasteful number, since it uses less digits than its factorization.

25017830730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17280 (or 17264 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 25017830730240 in words is "twenty-five trillion, seventeen billion, eight hundred thirty million, seven hundred thirty thousand, two hundred forty".