25312652820 has 384 divisors, whose sum is σ = 97253882880. Its totient is φ = 5322516480.

The previous prime is 25312652791. The next prime is 25312652821. The reversal of 25312652820 is 2825621352.

It is a happy number.

25312652820 is a `hidden beast` number, since 2 + 5 + 3 + 126 + 528 + 2 + 0 = 666.

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 (25312652821) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18328530 + ... + 18329910.

It is an arithmetic number, because the mean of its divisors is an integer number (253265320).

Almost surely, 2^25312652820 is an apocalyptic number.

25312652820 is a gapful number since it is divisible by the number (20) 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 25312652820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48626941440).

25312652820 is an abundant number, since it is smaller than the sum of its proper divisors (71941230060).

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

25312652820 is a wasteful number, since it uses less digits than its factorization.

25312652820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25312652820 in words is "twenty-five billion, three hundred twelve million, six hundred fifty-two thousand, eight hundred twenty".