25578033087552 has 224 divisors, whose sum is σ = 75456817035264. Its totient is φ = 7581712128000.

The previous prime is 25578033087527. The next prime is 25578033087559.

25578033087552 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25578033087559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16982553 + ... + 18427239.

It is an arithmetic number, because the mean of its divisors is an integer number (336860790336).

Almost surely, 2^{25578033087552} is an apocalyptic number.

25578033087552 is a gapful number since it is divisible by the number (22) 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 25578033087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37728408517632).

25578033087552 is an abundant number, since it is smaller than the sum of its proper divisors (49878783947712).

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

25578033087552 is a wasteful number, since it uses less digits than its factorization.

25578033087552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444897 (or 1444887 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 60.

The spelling of 25578033087552 in words is "twenty-five trillion, five hundred seventy-eight billion, thirty-three million, eighty-seven thousand, five hundred fifty-two".