25755195332880 has 720 divisors, whose sum is σ = 97475367802176. Its totient is φ = 6317110425600.

The previous prime is 25755195332851. The next prime is 25755195332887. The reversal of 25755195332880 is 8823359155752.

25755195332880 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 5 + 19 + 533 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (25755195332887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 929743030 + ... + 929770730.

Almost surely, 2^{25755195332880} is an apocalyptic number.

25755195332880 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 25755195332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48737683901088).

25755195332880 is an abundant number, since it is smaller than the sum of its proper divisors (71720172469296).

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

25755195332880 is a wasteful number, since it uses less digits than its factorization.

25755195332880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28038 (or 28007 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 25755195332880 in words is "twenty-five trillion, seven hundred fifty-five billion, one hundred ninety-five million, three hundred thirty-two thousand, eight hundred eighty".