25668292608 has 416 divisors, whose sum is σ = 88321259520. Its totient is φ = 7215022080.

The previous prime is 25668292603. The next prime is 25668292621. The reversal of 25668292608 is 80629286652.

25668292608 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 8 + 29 + 2 + 608 = 666.

It is a super-2 number, since 2×25668292608² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25668292603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54963991 + ... + 54964457.

It is an arithmetic number, because the mean of its divisors is an integer number (212310720).

Almost surely, 2^25668292608 is an apocalyptic number.

25668292608 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 25668292608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44160629760).

25668292608 is an abundant number, since it is smaller than the sum of its proper divisors (62652966912).

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

25668292608 is an equidigital number, since it uses as much as digits as its factorization.

25668292608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 25668292608 in words is "twenty-five billion, six hundred sixty-eight million, two hundred ninety-two thousand, six hundred eight".