25653463273360 has 80 divisors (see below), whose sum is σ = 66447233198640. Its totient is φ = 9145425623040.

The previous prime is 25653463273357. The next prime is 25653463273379. The reversal of 25653463273360 is 6337236435652.

25653463273360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 82398850704 + 25571064422656 = 287052^2 + 5056784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425259351 + ... + 425319670.

It is an arithmetic number, because the mean of its divisors is an integer number (830590414983).

Almost surely, 2^{25653463273360} is an apocalyptic number.

25653463273360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25653463273360 is an abundant number, since it is smaller than the sum of its proper divisors (40793769925280).

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

25653463273360 is a wasteful number, since it uses less digits than its factorization.

25653463273360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850579076 (or 850579070 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 55.

The spelling of 25653463273360 in words is "twenty-five trillion, six hundred fifty-three billion, four hundred sixty-three million, two hundred seventy-three thousand, three hundred sixty".