52626624730560 has 1792 divisors, whose sum is σ = 219474609868800. Its totient is φ = 11771943321600.

The previous prime is 52626624730507. The next prime is 52626624730601. The reversal of 52626624730560 is 6503742662625.

It is a happy number.

52626624730560 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 6 + 6 + 2 + 4 + 73 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52626624730497 and 52626624730506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3915373440 + ... + 3915386880.

Almost surely, 2^{52626624730560} 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 52626624730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109737304934400).

52626624730560 is an abundant number, since it is smaller than the sum of its proper divisors (166847985138240).

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

52626624730560 is a wasteful number, since it uses less digits than its factorization.

52626624730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 13571 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 52626624730560 in words is "fifty-two trillion, six hundred twenty-six billion, six hundred twenty-four million, seven hundred thirty thousand, five hundred sixty".