25006404560 has 40 divisors (see below), whose sum is σ = 58148082600. Its totient is φ = 10001152512.

The previous prime is 25006404523. The next prime is 25006404611. The reversal of 25006404560 is 6540460052.

It can be written as a sum of positive squares in 4 ways, for example, as 1752594496 + 23253810064 = 41864^2 + 152492^2 .

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

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, 693866 + ... + 729014.

It is an arithmetic number, because the mean of its divisors is an integer number (1453702065).

Almost surely, 2^25006404560 is an apocalyptic number.

25006404560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25006404560 is an abundant number, since it is smaller than the sum of its proper divisors (33141678040).

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

25006404560 is a wasteful number, since it uses less digits than its factorization.

25006404560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44055 (or 44049 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 25006404560 in words is "twenty-five billion, six million, four hundred four thousand, five hundred sixty".