25138689408 has 576 divisors, whose sum is σ = 88697306880. Its totient is φ = 6691829760.

The previous prime is 25138689349. The next prime is 25138689419. The reversal of 25138689408 is 80498683152.

25138689408 is a `hidden beast` number, since 2 + 513 + 8 + 6 + 89 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 302875735 + ... + 302875817.

It is an arithmetic number, because the mean of its divisors is an integer number (153988380).

Almost surely, 2^25138689408 is an apocalyptic number.

25138689408 is a gapful number since it is divisible by the number (28) 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 25138689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44348653440).

25138689408 is an abundant number, since it is smaller than the sum of its proper divisors (63558617472).

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

25138689408 is a wasteful number, since it uses less digits than its factorization.

25138689408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 25138689408 in words is "twenty-five billion, one hundred thirty-eight million, six hundred eighty-nine thousand, four hundred eight".