25481197728 has 672 divisors, whose sum is σ = 93048891264. Its totient is φ = 6700548096.

The previous prime is 25481197727. The next prime is 25481197747. The reversal of 25481197728 is 82779118452.

25481197728 is a `hidden beast` number, since 2 + 5 + 481 + 1 + 97 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

Its product of digits (2257920) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (25481197723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 185994076 + ... + 185994212.

It is an arithmetic number, because the mean of its divisors is an integer number (138465612).

Almost surely, 2^25481197728 is an apocalyptic number.

25481197728 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 25481197728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46524445632).

25481197728 is an abundant number, since it is smaller than the sum of its proper divisors (67567693536).

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

25481197728 is a wasteful number, since it uses less digits than its factorization.

25481197728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

It can be divided in two parts, 25 and 481197728, that added together give a triangular number (481197753 = T₃₁₀₂₂).

The spelling of 25481197728 in words is "twenty-five billion, four hundred eighty-one million, one hundred ninety-seven thousand, seven hundred twenty-eight".