52048084000 has 384 divisors, whose sum is σ = 149023929600. Its totient is φ = 17655808000.

The previous prime is 52048083973. The next prime is 52048084007. The reversal of 52048084000 is 48084025.

It is not an unprimeable number, because it can be changed into a prime (52048084007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111451767 + ... + 111452233.

It is an arithmetic number, because the mean of its divisors is an integer number (388083150).

Almost surely, 2^52048084000 is an apocalyptic number.

52048084000 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 52048084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511964800).

52048084000 is an abundant number, since it is smaller than the sum of its proper divisors (96975845600).

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

52048084000 is a wasteful number, since it uses less digits than its factorization.

52048084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The spelling of 52048084000 in words is "fifty-two billion, forty-eight million, eighty-four thousand".