25116672000 has 576 divisors, whose sum is σ = 96837721344. Its totient is φ = 5662310400.

The previous prime is 25116671989. The next prime is 25116672013. The reversal of 25116672000 is 27661152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344063964 + ... + 344064036.

It is an arithmetic number, because the mean of its divisors is an integer number (168121044).

Almost surely, 2^25116672000 is an apocalyptic number.

25116672000 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 25116672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48418860672).

25116672000 is an abundant number, since it is smaller than the sum of its proper divisors (71721049344).

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

25116672000 is an frugal number, since it uses more digits than its factorization.

25116672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 25116672000 in words is "twenty-five billion, one hundred sixteen million, six hundred seventy-two thousand".