25503211230552 has 192 divisors, whose sum is σ = 75741565536000. Its totient is φ = 7688223993600.

The previous prime is 25503211230551. The next prime is 25503211230557.

25503211230552 is a `hidden beast` number, since 2 + 5 + 50 + 3 + 21 + 1 + 2 + 30 + 552 = 666.

25503211230552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25503211230551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125271099 + ... + 125474517.

It is an arithmetic number, because the mean of its divisors is an integer number (394487320500).

Almost surely, 2^{25503211230552} is an apocalyptic number.

25503211230552 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 25503211230552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37870782768000).

25503211230552 is an abundant number, since it is smaller than the sum of its proper divisors (50238354305448).

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

25503211230552 is a wasteful number, since it uses less digits than its factorization.

25503211230552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204262 (or 204255 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 2550321 and 1230552, that added together give a palindrome (3780873).

The spelling of 25503211230552 in words is "twenty-five trillion, five hundred three billion, two hundred eleven million, two hundred thirty thousand, five hundred fifty-two".