25727775120 has 160 divisors (see below), whose sum is σ = 88956806400. Its totient is φ = 6834502656.

The previous prime is 25727775097. The next prime is 25727775121. The reversal of 25727775120 is 2157772752.

25727775120 is a `hidden beast` number, since 2 + 572 + 7 + 7 + 7 + 51 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25727775121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545436 + ... + 590724.

It is an arithmetic number, because the mean of its divisors is an integer number (555980040).

Almost surely, 2^25727775120 is an apocalyptic number.

25727775120 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 25727775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478403200).

25727775120 is an abundant number, since it is smaller than the sum of its proper divisors (63229031280).

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

25727775120 is a wasteful number, since it uses less digits than its factorization.

25727775120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45574 (or 45562 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 45.

The spelling of 25727775120 in words is "twenty-five billion, seven hundred twenty-seven million, seven hundred seventy-five thousand, one hundred twenty".