5212408320 has 960 divisors, whose sum is σ = 22951209600. Its totient is φ = 1128701952.

The previous prime is 5212408307. The next prime is 5212408343. The reversal of 5212408320 is 238042125.

5212408320 is a `hidden beast` number, since 521 + 2 + 40 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 274337271 + ... + 274337289.

It is an arithmetic number, because the mean of its divisors is an integer number (23907510).

Almost surely, 2^5212408320 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 5212408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475604800).

5212408320 is an abundant number, since it is smaller than the sum of its proper divisors (17738801280).

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

5212408320 is an frugal number, since it uses more digits than its factorization.

5212408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5212408320 is about 72197.0104644230. The cubic root of 5212408320 is about 1733.8551381000.

The spelling of 5212408320 in words is "five billion, two hundred twelve million, four hundred eight thousand, three hundred twenty".