52519803840 has 336 divisors, whose sum is σ = 214101468672. Its totient is φ = 12004402176.

The previous prime is 52519803839. The next prime is 52519803871. The reversal of 52519803840 is 4830891525.

52519803840 is a `hidden beast` number, since 52 + 519 + 8 + 0 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496077 + ... + 592563.

It is an arithmetic number, because the mean of its divisors is an integer number (637206752).

Almost surely, 2^52519803840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52519803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107050734336).

52519803840 is an abundant number, since it is smaller than the sum of its proper divisors (161581664832).

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

52519803840 is an equidigital number, since it uses as much as digits as its factorization.

52519803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96526 (or 96504 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 52519803840 in words is "fifty-two billion, five hundred nineteen million, eight hundred three thousand, eight hundred forty".