25252957484240 has 40 divisors (see below), whose sum is σ = 58713537537288. Its totient is φ = 10101112217600.

The previous prime is 25252957484231. The next prime is 25252957484303. The reversal of 25252957484240 is 4248475925252.

25252957484240 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 4 ways, for example, as 14231062118464 + 11021895365776 = 3772408^2 + 3319924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 25252957484240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11239040 + ... + 13297440.

Almost surely, 2^{25252957484240} is an apocalyptic number.

25252957484240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25252957484240 is an abundant number, since it is smaller than the sum of its proper divisors (33460580053048).

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

25252957484240 is a wasteful number, since it uses less digits than its factorization.

25252957484240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211767 (or 2211761 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 59.

The spelling of 25252957484240 in words is "twenty-five trillion, two hundred fifty-two billion, nine hundred fifty-seven million, four hundred eighty-four thousand, two hundred forty".