5162538240 has 720 divisors, whose sum is σ = 20433908880. Its totient is φ = 1238630400.

The previous prime is 5162538239. The next prime is 5162538263. The reversal of 5162538240 is 428352615.

5162538240 is a `hidden beast` number, since 5 + 1 + 625 + 3 + 8 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 717382656 + 4445155584 = 26784^2 + 66672^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5162538195 and 5162538204.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 51114190 + ... + 51114290.

It is an arithmetic number, because the mean of its divisors is an integer number (28380429).

Almost surely, 2^5162538240 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 5162538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10216954440).

5162538240 is an abundant number, since it is smaller than the sum of its proper divisors (15271370640).

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

5162538240 is a wasteful number, since it uses less digits than its factorization.

5162538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5162538240 is about 71850.8054234606. The cubic root of 5162538240 is about 1728.3078155347.

The spelling of 5162538240 in words is "five billion, one hundred sixty-two million, five hundred thirty-eight thousand, two hundred forty".