53642416126560 has 48 divisors (see below), whose sum is σ = 168973610800176. Its totient is φ = 14304644300288.

The previous prime is 53642416126549. The next prime is 53642416126577. The reversal of 53642416126560 is 6562161424635.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 55877516319 + ... + 55877517278.

It is an arithmetic number, because the mean of its divisors is an integer number (3520283558337).

Almost surely, 2^{53642416126560} is an apocalyptic number.

It is an amenable number.

53642416126560 is an abundant number, since it is smaller than the sum of its proper divisors (115331194673616).

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

53642416126560 is a wasteful number, since it uses less digits than its factorization.

53642416126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111755033615 (or 111755033607 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 53642416126560 in words is "fifty-three trillion, six hundred forty-two billion, four hundred sixteen million, one hundred twenty-six thousand, five hundred sixty".