25425354240 has 480 divisors, whose sum is σ = 103462815456. Its totient is φ = 5688852480.

The previous prime is 25425354239. The next prime is 25425354247. The reversal of 25425354240 is 4245352452.

25425354240 is a `hidden beast` number, since 2 + 5 + 42 + 535 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 25425354195 and 25425354204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25425354247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3290862 + ... + 3298578.

Almost surely, 2^25425354240 is an apocalyptic number.

25425354240 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 25425354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51731407728).

25425354240 is an abundant number, since it is smaller than the sum of its proper divisors (78037461216).

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

25425354240 is a wasteful number, since it uses less digits than its factorization.

25425354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 25425354240 in words is "twenty-five billion, four hundred twenty-five million, three hundred fifty-four thousand, two hundred forty".