5234515776 has 336 divisors, whose sum is σ = 17973446400. Its totient is φ = 1424941056.

The previous prime is 5234515739. The next prime is 5234515787. The reversal of 5234515776 is 6775154325.

It is a happy number.

5234515776 is a `hidden beast` number, since 5 + 23 + 4 + 51 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10406341 + ... + 10406843.

It is an arithmetic number, because the mean of its divisors is an integer number (53492400).

Almost surely, 2^5234515776 is an apocalyptic number.

5234515776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5234515776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8986723200).

5234515776 is an abundant number, since it is smaller than the sum of its proper divisors (12738930624).

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

5234515776 is a wasteful number, since it uses less digits than its factorization.

5234515776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 5234515776 is about 72349.9535314294. The cubic root of 5234515776 is about 1736.3029549069.

It can be divided in two parts, 52345 and 15776, that added together give a square (68121 = 261²).

The spelling of 5234515776 in words is "five billion, two hundred thirty-four million, five hundred fifteen thousand, seven hundred seventy-six".