725404624011 has 24 divisors (see below), whose sum is σ = 1081662609456. Its totient is φ = 468176325120.

The previous prime is 725404623997. The next prime is 725404624057. The reversal of 725404624011 is 110426404527.

725404624011 is a `hidden beast` number, since 7 + 2 + 5 + 404 + 6 + 240 + 1 + 1 = 666.

It is not a de Polignac number, because 725404624011 - 2⁷ = 725404623883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725404604011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8250210 + ... + 8337671.

It is an arithmetic number, because the mean of its divisors is an integer number (45069275394).

Almost surely, 2^725404624011 is an apocalyptic number.

725404624011 is a deficient number, since it is larger than the sum of its proper divisors (356257985445).

725404624011 is a wasteful number, since it uses less digits than its factorization.

725404624011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16588043 (or 16588040 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 725404624011 in words is "seven hundred twenty-five billion, four hundred four million, six hundred twenty-four thousand, eleven".