53200346657664 has 64 divisors (see below), whose sum is σ = 144320089386240. Its totient is φ = 17356141456896.

The previous prime is 53200346657597. The next prime is 53200346657683. The reversal of 53200346657664 is 46675664300235.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×53200346657664² (a number of 28 digits) contains 22 as substring.

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, 1473839074 + ... + 1473875169.

It is an arithmetic number, because the mean of its divisors is an integer number (2255001396660).

Almost surely, 2^{53200346657664} is an apocalyptic number.

It is an amenable number.

53200346657664 is an abundant number, since it is smaller than the sum of its proper divisors (91119742728576).

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

53200346657664 is a wasteful number, since it uses less digits than its factorization.

53200346657664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947714307 (or 2947714295 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 57.

The spelling of 53200346657664 in words is "fifty-three trillion, two hundred billion, three hundred forty-six million, six hundred fifty-seven thousand, six hundred sixty-four".