52829625600 has 540 divisors, whose sum is σ = 197464718220. Its totient is φ = 13934592000.

The previous prime is 52829625581. The next prime is 52829625613. The reversal of 52829625600 is 652692825.

52829625600 is a `hidden beast` number, since 5 + 2 + 8 + 29 + 62 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 142850304 + 52686775296 = 11952^2 + 229536^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52357896 + ... + 52358904.

Almost surely, 2^52829625600 is an apocalyptic number.

52829625600 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 52829625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98732359110).

52829625600 is an abundant number, since it is smaller than the sum of its proper divisors (144635092620).

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

52829625600 is a wasteful number, since it uses less digits than its factorization.

52829625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 52829625600 in words is "fifty-two billion, eight hundred twenty-nine million, six hundred twenty-five thousand, six hundred".