25730513252556 has 192 divisors, whose sum is σ = 69546716467200. Its totient is φ = 7252294982400.

The previous prime is 25730513252527. The next prime is 25730513252573. The reversal of 25730513252556 is 65525231503752.

It is a junction number, because it is equal to n+sod(n) for n = 25730513252499 and 25730513252508.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2957865895 + ... + 2957874593.

It is an arithmetic number, because the mean of its divisors is an integer number (362222481600).

Almost surely, 2^{25730513252556} 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 25730513252556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34773358233600).

25730513252556 is an abundant number, since it is smaller than the sum of its proper divisors (43816203214644).

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

25730513252556 is a wasteful number, since it uses less digits than its factorization.

25730513252556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10044 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 9450000, while the sum is 51.

The spelling of 25730513252556 in words is "twenty-five trillion, seven hundred thirty billion, five hundred thirteen million, two hundred fifty-two thousand, five hundred fifty-six".