25125765672 has 192 divisors, whose sum is σ = 77570032320. Its totient is φ = 6738880512.

The previous prime is 25125765667. The next prime is 25125765697. The reversal of 25125765672 is 27656752152.

It is a super-3 number, since 3×25125765672³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8855038 + ... + 8857874.

It is an arithmetic number, because the mean of its divisors is an integer number (404010585).

Almost surely, 2^25125765672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25125765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38785016160).

25125765672 is an abundant number, since it is smaller than the sum of its proper divisors (52444266648).

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

25125765672 is a wasteful number, since it uses less digits than its factorization.

25125765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3309 counting only the distinct ones).

The product of its digits is 1764000, while the sum is 48.

The spelling of 25125765672 in words is "twenty-five billion, one hundred twenty-five million, seven hundred sixty-five thousand, six hundred seventy-two".