53664829506 has 16 divisors (see below), whose sum is σ = 119255176800. Its totient is φ = 17888276484.

The previous prime is 53664829459. The next prime is 53664829507. The reversal of 53664829506 is 60592846635.

53664829506 is a `hidden beast` number, since 53 + 6 + 6 + 4 + 82 + 9 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 993793139 = 53664829506 / (5 + 3 + 6 + 6 + 4 + 8 + 2 + 9 + 5 + 0 + 6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53664829507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496896516 + ... + 496896623.

It is an arithmetic number, because the mean of its divisors is an integer number (7453448550).

Almost surely, 2^53664829506 is an apocalyptic number.

53664829506 is an abundant number, since it is smaller than the sum of its proper divisors (65590347294).

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

53664829506 is a wasteful number, since it uses less digits than its factorization.

53664829506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993793150 (or 993793144 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 53664829506 in words is "fifty-three billion, six hundred sixty-four million, eight hundred twenty-nine thousand, five hundred six".