25757275752 has 128 divisors (see below), whose sum is σ = 77136528000. Its totient is φ = 7916590080.

The previous prime is 25757275741. The next prime is 25757275769.

25757275752 is a `hidden beast` number, since 257 + 57 + 275 + 75 + 2 = 666.

25757275752 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2828727 + ... + 2837817.

It is an arithmetic number, because the mean of its divisors is an integer number (602629125).

Almost surely, 2^25757275752 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 25757275752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568264000).

25757275752 is an abundant number, since it is smaller than the sum of its proper divisors (51379252248).

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

25757275752 is a wasteful number, since it uses less digits than its factorization.

25757275752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128 (or 10118 counting only the distinct ones).

The product of its digits is 12005000, while the sum is 54.

The spelling of 25757275752 in words is "twenty-five billion, seven hundred fifty-seven million, two hundred seventy-five thousand, seven hundred fifty-two".