25674469920 has 288 divisors, whose sum is σ = 96316444224. Its totient is φ = 6176102400.

The previous prime is 25674469901. The next prime is 25674469939. The reversal of 25674469920 is 2996447652.

25674469920 is a `hidden beast` number, since 25 + 6 + 74 + 469 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25674469901) and next prime (25674469939).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068854 + ... + 2081226.

It is an arithmetic number, because the mean of its divisors is an integer number (334432098).

Almost surely, 2^25674469920 is an apocalyptic number.

25674469920 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 25674469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48158222112).

25674469920 is an abundant number, since it is smaller than the sum of its proper divisors (70641974304).

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

25674469920 is a wasteful number, since it uses less digits than its factorization.

25674469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12536 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

It can be divided in two parts, 25674 and 469920, that added together give a palindrome (495594).

The spelling of 25674469920 in words is "twenty-five billion, six hundred seventy-four million, four hundred sixty-nine thousand, nine hundred twenty".