25045833854052 has 192 divisors, whose sum is σ = 75295424897280. Its totient is φ = 7115400806400.

The previous prime is 25045833854009. The next prime is 25045833854059.

25045833854052 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 583 + 3 + 8 + 5 + 4 + 0 + 52 = 666.

25045833854052 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25045833854052.

It is not an unprimeable number, because it can be changed into a prime (25045833854059) 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, 2777652 + ... + 7603092.

It is an arithmetic number, because the mean of its divisors is an integer number (392163671340).

Almost surely, 2^{25045833854052} is an apocalyptic number.

25045833854052 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 25045833854052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37647712448640).

25045833854052 is an abundant number, since it is smaller than the sum of its proper divisors (50249591043228).

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

25045833854052 is a wasteful number, since it uses less digits than its factorization.

25045833854052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825739 (or 4825731 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 25045833854052 in words is "twenty-five trillion, forty-five billion, eight hundred thirty-three million, eight hundred fifty-four thousand, fifty-two".