25474834090368 has 192 divisors, whose sum is σ = 79115979458880. Its totient is φ = 7821478748160.

The previous prime is 25474834090333. The next prime is 25474834090369. The reversal of 25474834090368 is 86309043847452.

25474834090368 is a `hidden beast` number, since 2 + 5 + 4 + 7 + 483 + 4 + 0 + 90 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25474834090369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5096908 + ... + 8770868.

It is an arithmetic number, because the mean of its divisors is an integer number (412062393015).

Almost surely, 2^{25474834090368} 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 25474834090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39557989729440).

25474834090368 is an abundant number, since it is smaller than the sum of its proper divisors (53641145368512).

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

25474834090368 is a wasteful number, since it uses less digits than its factorization.

25474834090368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674457 (or 3674442 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 25474834090368 in words is "twenty-five trillion, four hundred seventy-four billion, eight hundred thirty-four million, ninety thousand, three hundred sixty-eight".