52019884800 has 1296 divisors, whose sum is σ = 216990778368. Its totient is φ = 12242534400.

The previous prime is 52019884793. The next prime is 52019884837. The reversal of 52019884800 is 848891025.

It is a happy number.

52019884800 is a `hidden beast` number, since 520 + 1 + 9 + 88 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 626745559 + ... + 626745641.

Almost surely, 2^52019884800 is an apocalyptic number.

52019884800 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 52019884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108495389184).

52019884800 is an abundant number, since it is smaller than the sum of its proper divisors (164970893568).

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

52019884800 is a wasteful number, since it uses less digits than its factorization.

52019884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 52019884800 in words is "fifty-two billion, nineteen million, eight hundred eighty-four thousand, eight hundred".