52848028800 has 1728 divisors, whose sum is σ = 242739151200. Its totient is φ = 11287019520.

The previous prime is 52848028787. The next prime is 52848028817. The reversal of 52848028800 is 882084825.

52848028800 is a `hidden beast` number, since 528 + 48 + 0 + 2 + 8 + 80 + 0 = 666.

52848028800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 723945564 + ... + 723945636.

Almost surely, 2^52848028800 is an apocalyptic number.

52848028800 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 52848028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121369575600).

52848028800 is an abundant number, since it is smaller than the sum of its proper divisors (189891122400).

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

52848028800 is a wasteful number, since it uses less digits than its factorization.

52848028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 52848028800 in words is "fifty-two billion, eight hundred forty-eight million, twenty-eight thousand, eight hundred".