25138832210496 has 315 divisors, whose sum is σ = 75518024327251. Its totient is φ = 8268784286976.

The previous prime is 25138832210491. The next prime is 25138832210543. The reversal of 25138832210496 is 69401223883152.

The square root of 25138832210496 is 5013864.

It is a perfect power (a square), and thus also a powerful number.

25138832210496 is a `hidden beast` number, since 2 + 5 + 1 + 388 + 3 + 2 + 210 + 49 + 6 = 666.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25138832210491) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 29962850845 + ... + 29962851683.

Almost surely, 2^{25138832210496} is an apocalyptic number.

25138832210496 is the 5013864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25138832210496

25138832210496 is an abundant number, since it is smaller than the sum of its proper divisors (50379192116755).

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

25138832210496 is an frugal number, since it uses more digits than its factorization.

25138832210496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 927 counting only the distinct ones).

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

The spelling of 25138832210496 in words is "twenty-five trillion, one hundred thirty-eight billion, eight hundred thirty-two million, two hundred ten thousand, four hundred ninety-six".