25109254560 has 384 divisors, whose sum is σ = 90586169856. Its totient is φ = 5798707200.

The previous prime is 25109254501. The next prime is 25109254561. The reversal of 25109254560 is 6545290152.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (25109254561) 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, 7604910 + ... + 7608210.

It is an arithmetic number, because the mean of its divisors is an integer number (235901484).

Almost surely, 2^25109254560 is an apocalyptic number.

25109254560 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 25109254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45293084928).

25109254560 is an abundant number, since it is smaller than the sum of its proper divisors (65476915296).

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

25109254560 is a wasteful number, since it uses less digits than its factorization.

25109254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 25109254560 in words is "twenty-five billion, one hundred nine million, two hundred fifty-four thousand, five hundred sixty".