25754135016960 has 1920 divisors, whose sum is σ = 109956816313344. Its totient is φ = 5654737059840.

The previous prime is 25754135016947. The next prime is 25754135016977. The reversal of 25754135016960 is 6961053145752.

25754135016960 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 4 + 13 + 501 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25754135016897 and 25754135016906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11961975244 + ... + 11961977396.

Almost surely, 2^{25754135016960} is an apocalyptic number.

25754135016960 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 25754135016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54978408156672).

25754135016960 is an abundant number, since it is smaller than the sum of its proper divisors (84202681296384).

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

25754135016960 is an equidigital number, since it uses as much as digits as its factorization.

25754135016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 25754135016960 in words is "twenty-five trillion, seven hundred fifty-four billion, one hundred thirty-five million, sixteen thousand, nine hundred sixty".