53746566564735 has 288 divisors, whose sum is σ = 109820525068800. Its totient is φ = 24234445002240.

The previous prime is 53746566564727. The next prime is 53746566564749.

It is a happy number.

53746566564735 is a `hidden beast` number, since 5 + 3 + 7 + 4 + 6 + 56 + 6 + 564 + 7 + 3 + 5 = 666.

53746566564735 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53746566564735 - 2³ = 53746566564727 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7872644392 + ... + 7872651218.

It is an arithmetic number, because the mean of its divisors is an integer number (381321267600).

Almost surely, 2^{53746566564735} is an apocalyptic number.

53746566564735 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53746566564735 is an abundant number, since it is smaller than the sum of its proper divisors (56073958504065).

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

53746566564735 is a wasteful number, since it uses less digits than its factorization.

53746566564735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8605 counting only the distinct ones).

The product of its digits is 5715360000, while the sum is 72.

The spelling of 53746566564735 in words is "fifty-three trillion, seven hundred forty-six billion, five hundred sixty-six million, five hundred sixty-four thousand, seven hundred thirty-five".