52537161600 has 1536 divisors, whose sum is σ = 245877120000. Its totient is φ = 10638950400.

The previous prime is 52537161587. The next prime is 52537161601. The reversal of 52537161600 is 616173525.

52537161600 is a `hidden beast` number, since 5 + 2 + 5 + 37 + 1 + 616 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52537161601) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 352598326 + ... + 352598474.

It is an arithmetic number, because the mean of its divisors is an integer number (160076250).

Almost surely, 2^52537161600 is an apocalyptic number.

52537161600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52537161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122938560000).

52537161600 is an abundant number, since it is smaller than the sum of its proper divisors (193339958400).

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

52537161600 is a wasteful number, since it uses less digits than its factorization.

52537161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 52537161600 in words is "fifty-two billion, five hundred thirty-seven million, one hundred sixty-one thousand, six hundred".