52384937760 has 384 divisors, whose sum is σ = 186157440000. Its totient is φ = 13757054976.

The previous prime is 52384937729. The next prime is 52384937771. The reversal of 52384937760 is 6773948325.

52384937760 is a `hidden beast` number, since 5 + 23 + 8 + 493 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52384937697 and 52384937706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116670016 + ... + 116670464.

It is an arithmetic number, because the mean of its divisors is an integer number (484785000).

Almost surely, 2^52384937760 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 52384937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720000).

52384937760 is an abundant number, since it is smaller than the sum of its proper divisors (133772502240).

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

52384937760 is a wasteful number, since it uses less digits than its factorization.

52384937760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 52384937760 in words is "fifty-two billion, three hundred eighty-four million, nine hundred thirty-seven thousand, seven hundred sixty".