25557666675552 has 72 divisors (see below), whose sum is σ = 79286852310120. Its totient is φ = 7744747476480.

The previous prime is 25557666675493. The next prime is 25557666675581.

25557666675552 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4033719477 + ... + 4033725812.

It is an arithmetic number, because the mean of its divisors is an integer number (1101206282085).

Almost surely, 2^{25557666675552} is an apocalyptic number.

25557666675552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25557666675552 is an abundant number, since it is smaller than the sum of its proper divisors (53729185634568).

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

25557666675552 is a wasteful number, since it uses less digits than its factorization.

25557666675552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067445316 (or 8067445305 counting only the distinct ones).

The product of its digits is 3969000000, while the sum is 72.

The spelling of 25557666675552 in words is "twenty-five trillion, five hundred fifty-seven billion, six hundred sixty-six million, six hundred seventy-five thousand, five hundred fifty-two".