25535566553552 has 60 divisors (see below), whose sum is σ = 54434132450880. Its totient is φ = 11595903401280.

The previous prime is 25535566553459. The next prime is 25535566553557.

25535566553552 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25535566553557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4335878 + ... + 8358885.

It is an arithmetic number, because the mean of its divisors is an integer number (907235540848).

Almost surely, 2^{25535566553552} is an apocalyptic number.

25535566553552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25535566553552 is an abundant number, since it is smaller than the sum of its proper divisors (28898565897328).

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

25535566553552 is a wasteful number, since it uses less digits than its factorization.

25535566553552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12695832 (or 12695815 counting only the distinct ones).

The product of its digits is 506250000, while the sum is 62.

The spelling of 25535566553552 in words is "twenty-five trillion, five hundred thirty-five billion, five hundred sixty-six million, five hundred fifty-three thousand, five hundred fifty-two".