52419840000 has 960 divisors, whose sum is σ = 204479795520. Its totient is φ = 11796480000.

The previous prime is 52419839939. The next prime is 52419840001. The reversal of 52419840000 is 4891425.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (52419840001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 718079964 + ... + 718080036.

It is an arithmetic number, because the mean of its divisors is an integer number (212999787).

Almost surely, 2^52419840000 is an apocalyptic number.

52419840000 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 52419840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102239897760).

52419840000 is an abundant number, since it is smaller than the sum of its proper divisors (152059955520).

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

52419840000 is a wasteful number, since it uses less digits than its factorization.

52419840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 52419840000 in words is "fifty-two billion, four hundred nineteen million, eight hundred forty thousand".