52838464320 has 336 divisors, whose sum is σ = 199565166528. Its totient is φ = 13261086720.

The previous prime is 52838464309. The next prime is 52838464361. The reversal of 52838464320 is 2346483825.

52838464320 is a `hidden beast` number, since 5 + 283 + 8 + 46 + 4 + 320 = 666.

52838464320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×52838464320³ (a number of 33 digits) contains 333 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301935 + ... + 1341905.

It is an arithmetic number, because the mean of its divisors is an integer number (593943948).

Almost surely, 2^52838464320 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 52838464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99782583264).

52838464320 is an abundant number, since it is smaller than the sum of its proper divisors (146726702208).

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

52838464320 is a wasteful number, since it uses less digits than its factorization.

52838464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40020 (or 39998 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

It can be divided in two parts, 528384 and 64320, that added together give a cube (592704 = 84³).

The spelling of 52838464320 in words is "fifty-two billion, eight hundred thirty-eight million, four hundred sixty-four thousand, three hundred twenty".