52609100544 has 432 divisors, whose sum is σ = 203669915904. Its totient is φ = 12613017600.

The previous prime is 52609100539. The next prime is 52609100569. The reversal of 52609100544 is 44500190625.

52609100544 is a `hidden beast` number, since 5 + 2 + 6 + 0 + 9 + 100 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52609100499 and 52609100508.

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 47 ways as a sum of consecutive naturals, for example, 2294899 + ... + 2317709.

Almost surely, 2^52609100544 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 52609100544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101834957952).

52609100544 is an abundant number, since it is smaller than the sum of its proper divisors (151060815360).

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

52609100544 is a wasteful number, since it uses less digits than its factorization.

52609100544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22864 (or 22847 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 52609100544 in words is "fifty-two billion, six hundred nine million, one hundred thousand, five hundred forty-four".