52944768000 has 264 divisors, whose sum is σ = 190794483360. Its totient is φ = 14118297600.

The previous prime is 52944767983. The next prime is 52944768001. The reversal of 52944768000 is 86744925.

It is a happy number.

52944768000 is a `hidden beast` number, since 529 + 4 + 47 + 6 + 80 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52944768001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129021 + ... + 1174979.

Almost surely, 2^52944768000 is an apocalyptic number.

52944768000 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 52944768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397241680).

52944768000 is an abundant number, since it is smaller than the sum of its proper divisors (137849715360).

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

52944768000 is a wasteful number, since it uses less digits than its factorization.

52944768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46000 (or 45969 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 52944768000 in words is "fifty-two billion, nine hundred forty-four million, seven hundred sixty-eight thousand".