5237688960 has 1024 divisors, whose sum is σ = 23265792000. Its totient is φ = 1086898176.

The previous prime is 5237688959. The next prime is 5237688971. The reversal of 5237688960 is 698867325.

It is a happy number.

It is a super-3 number, since 3×5237688960³ (a number of 30 digits) contains 333 as substring.

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 = 5237688897 and 5237688906.

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 127 ways as a sum of consecutive naturals, for example, 98824294 + ... + 98824346.

It is an arithmetic number, because the mean of its divisors is an integer number (22720500).

Almost surely, 2^5237688960 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 5237688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11632896000).

5237688960 is an abundant number, since it is smaller than the sum of its proper divisors (18028103040).

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

5237688960 is a wasteful number, since it uses less digits than its factorization.

5237688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5237688960 is about 72371.8796218531. The cubic root of 5237688960 is about 1736.6537352561.

The spelling of 5237688960 in words is "five billion, two hundred thirty-seven million, six hundred eighty-eight thousand, nine hundred sixty".