25902754416 has 240 divisors, whose sum is σ = 95136887040. Its totient is φ = 6373831680.

The previous prime is 25902754379. The next prime is 25902754421. The reversal of 25902754416 is 61445720952.

25902754416 is a `hidden beast` number, since 2 + 5 + 90 + 2 + 7 + 544 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149196 + ... + 272148.

It is an arithmetic number, because the mean of its divisors is an integer number (396403696).

Almost surely, 2^25902754416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25902754416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47568443520).

25902754416 is an abundant number, since it is smaller than the sum of its proper divisors (69234132624).

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

25902754416 is a wasteful number, since it uses less digits than its factorization.

25902754416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123004 (or 122995 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 25902754416 in words is "twenty-five billion, nine hundred two million, seven hundred fifty-four thousand, four hundred sixteen".