25795461120 has 512 divisors, whose sum is σ = 97239260160. Its totient is φ = 5756682240.

The previous prime is 25795461077. The next prime is 25795461179. The reversal of 25795461120 is 2116459752.

It is a tau number, because it is divible by the number of its divisors (512).

It is a zygodrome in base 2.

It is a congruent number.

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, 70287177 + ... + 70287543.

It is an arithmetic number, because the mean of its divisors is an integer number (189920430).

Almost surely, 2^25795461120 is an apocalyptic number.

25795461120 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 25795461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48619630080).

25795461120 is an abundant number, since it is smaller than the sum of its proper divisors (71443799040).

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

25795461120 is a wasteful number, since it uses less digits than its factorization.

25795461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 25795461120 in words is "twenty-five billion, seven hundred ninety-five million, four hundred sixty-one thousand, one hundred twenty".