25243200234252 has 576 divisors, whose sum is σ = 87179377259520. Its totient is φ = 5946089472000.

The previous prime is 25243200234211. The next prime is 25243200234331.

25243200234252 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 3 + 200 + 23 + 425 + 2 = 666.

25243200234252 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5257902252 + ... + 5257907052.

It is an arithmetic number, because the mean of its divisors is an integer number (151353085520).

Almost surely, 2^{25243200234252} is an apocalyptic number.

25243200234252 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 25243200234252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43589688629760).

25243200234252 is an abundant number, since it is smaller than the sum of its proper divisors (61936177025268).

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

25243200234252 is a wasteful number, since it uses less digits than its factorization.

25243200234252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 25243200 and 234252, that added together give a palindrome (25477452).

The spelling of 25243200234252 in words is "twenty-five trillion, two hundred forty-three billion, two hundred million, two hundred thirty-four thousand, two hundred fifty-two".