52438848000 has 640 divisors, whose sum is σ = 217427798016. Its totient is φ = 10893312000.

The previous prime is 52438847977. The next prime is 52438848019. The reversal of 52438848000 is 84883425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14782227 + ... + 14785773.

Almost surely, 2^52438848000 is an apocalyptic number.

52438848000 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 52438848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108713899008).

52438848000 is an abundant number, since it is smaller than the sum of its proper divisors (164988950016).

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

52438848000 is a wasteful number, since it uses less digits than its factorization.

52438848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 52438848000 in words is "fifty-two billion, four hundred thirty-eight million, eight hundred forty-eight thousand".