25653843072 has 600 divisors, whose sum is σ = 90936318825. Its totient is φ = 7175900160.

The previous prime is 25653843031. The next prime is 25653843077. The reversal of 25653843072 is 27034835652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

25653843072 is a `hidden beast` number, since 2 + 5 + 6 + 538 + 43 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21934794816 + 3719048256 = 148104^2 + 60984^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=113256.

It is not an unprimeable number, because it can be changed into a prime (25653843077) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1973372538 + ... + 1973372550.

Almost surely, 2^25653843072 is an apocalyptic number.

25653843072 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 25653843072

25653843072 is an abundant number, since it is smaller than the sum of its proper divisors (65282475753).

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

25653843072 is an frugal number, since it uses more digits than its factorization.

25653843072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 25653843072 in words is "twenty-five billion, six hundred fifty-three million, eight hundred forty-three thousand, seventy-two".