25364822112 has 288 divisors, whose sum is σ = 87485029632. Its totient is φ = 7077901824.

The previous prime is 25364822107. The next prime is 25364822117. The reversal of 25364822112 is 21122846352.

25364822112 is a `hidden beast` number, since 2 + 5 + 3 + 648 + 2 + 2 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (25364822107) and next prime (25364822117).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25364822117) 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 47 ways as a sum of consecutive naturals, for example, 2335158 + ... + 2345994.

It is an arithmetic number, because the mean of its divisors is an integer number (303767464).

Almost surely, 2^25364822112 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 25364822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43742514816).

25364822112 is an abundant number, since it is smaller than the sum of its proper divisors (62120207520).

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

25364822112 is a wasteful number, since it uses less digits than its factorization.

25364822112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912 (or 10892 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 25364822112 in words is "twenty-five billion, three hundred sixty-four million, eight hundred twenty-two thousand, one hundred twelve".