25625416560 has 320 divisors, whose sum is σ = 84540589056. Its totient is φ = 6412492800.

The previous prime is 25625416549. The next prime is 25625416561. The reversal of 25625416560 is 6561452652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25625416561) 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, 30041094 + ... + 30041946.

Almost surely, 2^25625416560 is an apocalyptic number.

25625416560 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 25625416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42270294528).

25625416560 is an abundant number, since it is smaller than the sum of its proper divisors (58915172496).

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

25625416560 is a wasteful number, since it uses less digits than its factorization.

25625416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 25625416560 in words is "twenty-five billion, six hundred twenty-five million, four hundred sixteen thousand, five hundred sixty".