25623032652 has 144 divisors (see below), whose sum is σ = 76271307840. Its totient is φ = 7099716096.

The previous prime is 25623032647. The next prime is 25623032717.

25623032652 is a `hidden beast` number, since 2 + 5 + 623 + 0 + 3 + 26 + 5 + 2 = 666.

25623032652 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 47 ways as a sum of consecutive naturals, for example, 2951374 + ... + 2960042.

It is an arithmetic number, because the mean of its divisors is an integer number (529661860).

Almost surely, 2^25623032652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25623032652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38135653920).

25623032652 is an abundant number, since it is smaller than the sum of its proper divisors (50648275188).

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

25623032652 is a wasteful number, since it uses less digits than its factorization.

25623032652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 256230 and 32652, that added together give a palindrome (288882).

The spelling of 25623032652 in words is "twenty-five billion, six hundred twenty-three million, thirty-two thousand, six hundred fifty-two".