52819050240 has 720 divisors, whose sum is σ = 213420826080. Its totient is φ = 12355338240.

The previous prime is 52819050203. The next prime is 52819050241. The reversal of 52819050240 is 4205091825.

52819050240 is a `hidden beast` number, since 5 + 28 + 1 + 90 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 52819050195 and 52819050204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52819050241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33073122 + ... + 33074718.

It is an arithmetic number, because the mean of its divisors is an integer number (296417814).

Almost surely, 2^52819050240 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 52819050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106710413040).

52819050240 is an abundant number, since it is smaller than the sum of its proper divisors (160601775840).

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

52819050240 is a wasteful number, since it uses less digits than its factorization.

52819050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 52819050240 in words is "fifty-two billion, eight hundred nineteen million, fifty thousand, two hundred forty".