65400405957 has 12 divisors (see below), whose sum is σ = 94720521324. Its totient is φ = 43483377600.

The previous prime is 65400405923. The next prime is 65400405997. The reversal of 65400405957 is 75950400456.

65400405957 is a `hidden beast` number, since 6 + 54 + 0 + 0 + 4 + 0 + 595 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53024733441 + 12375672516 = 230271^2 + 111246^2 .

It is not a de Polignac number, because 65400405957 - 2⁶ = 65400405893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65400405997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9737544 + ... + 9744257.

It is an arithmetic number, because the mean of its divisors is an integer number (7893376777).

Almost surely, 2^65400405957 is an apocalyptic number.

It is an amenable number.

65400405957 is a deficient number, since it is larger than the sum of its proper divisors (29320115367).

65400405957 is a wasteful number, since it uses less digits than its factorization.

65400405957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19482180 (or 19482177 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 65400405957 in words is "sixty-five billion, four hundred million, four hundred five thousand, nine hundred fifty-seven".