25335720214272 has 1152 divisors, whose sum is σ = 83573371392000. Its totient is φ = 7617448230912.

The previous prime is 25335720214267. The next prime is 25335720214289. The reversal of 25335720214272 is 27241202753352.

It is a happy number.

25335720214272 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 572 + 0 + 2 + 1 + 4 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79923407458 + ... + 79923407774.

Almost surely, 2^{25335720214272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25335720214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41786685696000).

25335720214272 is an abundant number, since it is smaller than the sum of its proper divisors (58237651177728).

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

25335720214272 is an equidigital number, since it uses as much as digits as its factorization.

25335720214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 25335720214272 in words is "twenty-five trillion, three hundred thirty-five billion, seven hundred twenty million, two hundred fourteen thousand, two hundred seventy-two".