25668295690752 has 960 divisors, whose sum is σ = 90564683489280. Its totient is φ = 7155313459200.

The previous prime is 25668295690717. The next prime is 25668295690757. The reversal of 25668295690752 is 25709659286652.

25668295690752 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 8 + 2 + 9 + 569 + 0 + 7 + 52 = 666.

It is a super-2 number, since 2×25668295690752² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (25668295690757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5533150449 + ... + 5533155087.

It is an arithmetic number, because the mean of its divisors is an integer number (94338211968).

Almost surely, 2^{25668295690752} is an apocalyptic number.

25668295690752 is a gapful number since it is divisible by the number (22) 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 25668295690752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45282341744640).

25668295690752 is an abundant number, since it is smaller than the sum of its proper divisors (64896387798528).

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

25668295690752 is a wasteful number, since it uses less digits than its factorization.

25668295690752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 25668295690752 in words is "twenty-five trillion, six hundred sixty-eight billion, two hundred ninety-five million, six hundred ninety thousand, seven hundred fifty-two".