53629066666560 has 896 divisors, whose sum is σ = 221601991753728. Its totient is φ = 10655124480000.

The previous prime is 53629066666559. The next prime is 53629066666577. The reversal of 53629066666560 is 6566666092635.

53629066666560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 53629066666491 and 53629066666500.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6547312065 + ... + 6547320255.

Almost surely, 2^{53629066666560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53629066666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110800995876864).

53629066666560 is an abundant number, since it is smaller than the sum of its proper divisors (167972925087168).

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

53629066666560 is a wasteful number, since it uses less digits than its factorization.

53629066666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103 (or 12093 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 66.

The spelling of 53629066666560 in words is "fifty-three trillion, six hundred twenty-nine billion, sixty-six million, six hundred sixty-six thousand, five hundred sixty".