25752172320 has 384 divisors, whose sum is σ = 105206169600. Its totient is φ = 5760654336.

The previous prime is 25752172307. The next prime is 25752172321. The reversal of 25752172320 is 2327125752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25752172321) 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, 1412221 + ... + 1430339.

It is an arithmetic number, because the mean of its divisors is an integer number (273974400).

Almost surely, 2^25752172320 is an apocalyptic number.

25752172320 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 25752172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52603084800).

25752172320 is an abundant number, since it is smaller than the sum of its proper divisors (79453997280).

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

25752172320 is a wasteful number, since it uses less digits than its factorization.

25752172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18197 (or 18183 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 25752172320 in words is "twenty-five billion, seven hundred fifty-two million, one hundred seventy-two thousand, three hundred twenty".