25668165388320 has 1152 divisors, whose sum is σ = 111898470587904. Its totient is φ = 5410889662464.

The previous prime is 25668165388319. The next prime is 25668165388361. The reversal of 25668165388320 is 2388356186652.

25668165388320 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 8 + 16 + 538 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5140827744 + ... + 5140832736.

It is an arithmetic number, because the mean of its divisors is an integer number (97134089052).

Almost surely, 2^{25668165388320} is an apocalyptic number.

25668165388320 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 25668165388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55949235293952).

25668165388320 is an abundant number, since it is smaller than the sum of its proper divisors (86230305199584).

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

25668165388320 is a wasteful number, since it uses less digits than its factorization.

25668165388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 25668165388320 in words is "twenty-five trillion, six hundred sixty-eight billion, one hundred sixty-five million, three hundred eighty-eight thousand, three hundred twenty".