25442012520 has 224 divisors, whose sum is σ = 88150930920. Its totient is φ = 6600890880.

The previous prime is 25442012467. The next prime is 25442012521. The reversal of 25442012520 is 2521024452.

It can be written as a sum of positive squares in 4 ways, for example, as 22390333956 + 3051678564 = 149634^2 + 55242^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25442012521) 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 55 ways as a sum of consecutive naturals, for example, 1067130 + ... + 1090710.

Almost surely, 2^25442012520 is an apocalyptic number.

25442012520 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 25442012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44075465460).

25442012520 is an abundant number, since it is smaller than the sum of its proper divisors (62708918400).

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

25442012520 is a wasteful number, since it uses less digits than its factorization.

25442012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23647 (or 23628 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 25442012520 its reverse (2521024452), we get a palindrome (27963036972).

The spelling of 25442012520 in words is "twenty-five billion, four hundred forty-two million, twelve thousand, five hundred twenty".