25642782144 has 112 divisors (see below), whose sum is σ = 86154361600. Its totient is φ = 7326505728.

The previous prime is 25642782131. The next prime is 25642782149. The reversal of 25642782144 is 44128724652.

25642782144 is a `hidden beast` number, since 2 + 5 + 6 + 427 + 8 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 25642782144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25642782149) 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 15 ways as a sum of consecutive naturals, for example, 1047874 + ... + 1072065.

Almost surely, 2^25642782144 is an apocalyptic number.

25642782144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25642782144 is an abundant number, since it is smaller than the sum of its proper divisors (60511579456).

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

25642782144 is a wasteful number, since it uses less digits than its factorization.

25642782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119967 (or 2119951 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 25642782144 in words is "twenty-five billion, six hundred forty-two million, seven hundred eighty-two thousand, one hundred forty-four".