52075110600 has 480 divisors, whose sum is σ = 192786846120. Its totient is φ = 12982394880.

The previous prime is 52075110559. The next prime is 52075110653. The reversal of 52075110600 is 601157025.

52075110600 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 51 + 1 + 0 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 35469695556 + 16605415044 = 188334^2 + 128862^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47643654 + ... + 47644746.

Almost surely, 2^52075110600 is an apocalyptic number.

52075110600 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 52075110600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96393423060).

52075110600 is an abundant number, since it is smaller than the sum of its proper divisors (140711735520).

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

52075110600 is a wasteful number, since it uses less digits than its factorization.

52075110600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 52075110600 its reverse (601157025), we get a palindrome (52676267625).

The spelling of 52075110600 in words is "fifty-two billion, seventy-five million, one hundred ten thousand, six hundred".