25577877552 has 160 divisors (see below), whose sum is σ = 68562278400. Its totient is φ = 8211456000.

The previous prime is 25577877529. The next prime is 25577877553.

It is a happy number.

25577877552 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25577877553) 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 31 ways as a sum of consecutive naturals, for example, 94383177 + ... + 94383447.

It is an arithmetic number, because the mean of its divisors is an integer number (428514240).

Almost surely, 2^25577877552 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 25577877552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34281139200).

25577877552 is an abundant number, since it is smaller than the sum of its proper divisors (42984400848).

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

25577877552 is a wasteful number, since it uses less digits than its factorization.

25577877552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its digits is 48020000, while the sum is 60.

The spelling of 25577877552 in words is "twenty-five billion, five hundred seventy-seven million, eight hundred seventy-seven thousand, five hundred fifty-two".