25910400960 has 224 divisors, whose sum is σ = 92263691520. Its totient is φ = 6844621824.

The previous prime is 25910400949. The next prime is 25910400983. The reversal of 25910400960 is 6900401952.

25910400960 is a `hidden beast` number, since 2 + 591 + 0 + 4 + 0 + 0 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910467 + ... + 938493.

It is an arithmetic number, because the mean of its divisors is an integer number (411891480).

Almost surely, 2^25910400960 is an apocalyptic number.

25910400960 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 25910400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46131845760).

25910400960 is an abundant number, since it is smaller than the sum of its proper divisors (66353290560).

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

25910400960 is a wasteful number, since it uses less digits than its factorization.

25910400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28160 (or 28144 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 25910400960 in words is "twenty-five billion, nine hundred ten million, four hundred thousand, nine hundred sixty".