52745643600 has 360 divisors, whose sum is σ = 184107457440. Its totient is φ = 12902123520.

The previous prime is 52745643571. The next prime is 52745643607. The reversal of 52745643600 is 634654725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52745643607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36300474 + ... + 36301926.

It is an arithmetic number, because the mean of its divisors is an integer number (511409604).

Almost surely, 2^52745643600 is an apocalyptic number.

52745643600 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 52745643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92053728720).

52745643600 is an abundant number, since it is smaller than the sum of its proper divisors (131361813840).

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

52745643600 is a wasteful number, since it uses less digits than its factorization.

52745643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 52745643600 in words is "fifty-two billion, seven hundred forty-five million, six hundred forty-three thousand, six hundred".