25333805952 has 1152 divisors, whose sum is σ = 101582208000. Its totient is φ = 5977939968.

The previous prime is 25333805951. The next prime is 25333806013. The reversal of 25333805952 is 25950833352.

25333805952 is a `hidden beast` number, since 2 + 53 + 3 + 3 + 8 + 0 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 25333805898 and 25333805907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25333805951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 320681049 + ... + 320681127.

It is an arithmetic number, because the mean of its divisors is an integer number (88179000).

Almost surely, 2^25333805952 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 25333805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104000).

25333805952 is an abundant number, since it is smaller than the sum of its proper divisors (76248402048).

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

25333805952 is a wasteful number, since it uses less digits than its factorization.

25333805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 25333805952 in words is "twenty-five billion, three hundred thirty-three million, eight hundred five thousand, nine hundred fifty-two".