52116057600 has 480 divisors, whose sum is σ = 184351474560. Its totient is φ = 12939264000.

The previous prime is 52116057571. The next prime is 52116057607. The reversal of 52116057600 is 675061125.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52116057607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44505015 + ... + 44506185.

It is an arithmetic number, because the mean of its divisors is an integer number (384065572).

Almost surely, 2^52116057600 is an apocalyptic number.

52116057600 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 52116057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92175737280).

52116057600 is an abundant number, since it is smaller than the sum of its proper divisors (132235416960).

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

52116057600 is a wasteful number, since it uses less digits than its factorization.

52116057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 52116057600 in words is "fifty-two billion, one hundred sixteen million, fifty-seven thousand, six hundred".