25618879653660 has 480 divisors, whose sum is σ = 83386512405504. Its totient is φ = 6579895680000.

The previous prime is 25618879653649. The next prime is 25618879653683. The reversal of 25618879653660 is 6635697881652.

25618879653660 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 8 + 87 + 9 + 6 + 536 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1634787625 + ... + 1634803295.

Almost surely, 2^{25618879653660} is an apocalyptic number.

25618879653660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25618879653660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41693256202752).

25618879653660 is an abundant number, since it is smaller than the sum of its proper divisors (57767632751844).

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

25618879653660 is a wasteful number, since it uses less digits than its factorization.

25618879653660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16047 (or 16036 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 25618879653660 in words is "twenty-five trillion, six hundred eighteen billion, eight hundred seventy-nine million, six hundred fifty-three thousand, six hundred sixty".