52845004800 has 1152 divisors, whose sum is σ = 228785356800. Its totient is φ = 11705057280.

The previous prime is 52845004799. The next prime is 52845004813. The reversal of 52845004800 is 840054825.

52845004800 is a `hidden beast` number, since 52 + 84 + 50 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 416102337 + ... + 416102463.

It is an arithmetic number, because the mean of its divisors is an integer number (198598400).

Almost surely, 2^52845004800 is an apocalyptic number.

52845004800 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 52845004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114392678400).

52845004800 is an abundant number, since it is smaller than the sum of its proper divisors (175940352000).

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

52845004800 is a wasteful number, since it uses less digits than its factorization.

52845004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 52845004800 in words is "fifty-two billion, eight hundred forty-five million, four thousand, eight hundred".