52782757920 has 192 divisors, whose sum is σ = 184901149440. Its totient is φ = 14063099904.

The previous prime is 52782757903. The next prime is 52782757927. The reversal of 52782757920 is 2975728725.

52782757920 is a `hidden beast` number, since 5 + 27 + 8 + 27 + 579 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52782757927) 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 31 ways as a sum of consecutive naturals, for example, 5624272 + ... + 5633648.

It is an arithmetic number, because the mean of its divisors is an integer number (963026820).

Almost surely, 2^52782757920 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 52782757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92450574720).

52782757920 is an abundant number, since it is smaller than the sum of its proper divisors (132118391520).

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

52782757920 is a wasteful number, since it uses less digits than its factorization.

52782757920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704 (or 10690 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 52782757920 in words is "fifty-two billion, seven hundred eighty-two million, seven hundred fifty-seven thousand, nine hundred twenty".