25905213072 has 160 divisors (see below), whose sum is σ = 75809433600. Its totient is φ = 8467224192.

The previous prime is 25905213043. The next prime is 25905213127. The reversal of 25905213072 is 27031250952.

25905213072 is a `hidden beast` number, since 2 + 590 + 52 + 13 + 0 + 7 + 2 = 666.

It is a super-3 number, since 3×25905213072³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12411613 + ... + 12413699.

It is an arithmetic number, because the mean of its divisors is an integer number (473808960).

Almost surely, 2^25905213072 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 25905213072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37904716800).

25905213072 is an abundant number, since it is smaller than the sum of its proper divisors (49904220528).

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

25905213072 is a wasteful number, since it uses less digits than its factorization.

25905213072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 25905213072 in words is "twenty-five billion, nine hundred five million, two hundred thirteen thousand, seventy-two".