25572633627552 has 384 divisors, whose sum is σ = 75154495223808. Its totient is φ = 7549161984000.

The previous prime is 25572633627539. The next prime is 25572633627581.

25572633627552 is nontrivially palindromic in base 10.

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, 1724726763 + ... + 1724741589.

It is an arithmetic number, because the mean of its divisors is an integer number (195714831312).

Almost surely, 2^{25572633627552} is an apocalyptic number.

25572633627552 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 25572633627552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37577247611904).

25572633627552 is an abundant number, since it is smaller than the sum of its proper divisors (49581861596256).

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

25572633627552 is a wasteful number, since it uses less digits than its factorization.

25572633627552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15212 (or 15204 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 60.

The spelling of 25572633627552 in words is "twenty-five trillion, five hundred seventy-two billion, six hundred thirty-three million, six hundred twenty-seven thousand, five hundred fifty-two".