25542633624552 has 256 divisors, whose sum is σ = 80908768512000. Its totient is φ = 7390686758400.

The previous prime is 25542633624523. The next prime is 25542633624553.

25542633624552 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 2 + 6 + 3 + 3 + 624 + 5 + 5 + 2 = 666.

25542633624552 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25542633624552² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25542633624553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30794724 + ... + 31613292.

It is an arithmetic number, because the mean of its divisors is an integer number (316049877000).

Almost surely, 2^{25542633624552} is an apocalyptic number.

25542633624552 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 25542633624552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40454384256000).

25542633624552 is an abundant number, since it is smaller than the sum of its proper divisors (55366134887448).

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

25542633624552 is a wasteful number, since it uses less digits than its factorization.

25542633624552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819189 (or 819179 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 25542633624552 in words is "twenty-five trillion, five hundred forty-two billion, six hundred thirty-three million, six hundred twenty-four thousand, five hundred fifty-two".