5382365760 has 140 divisors (see below), whose sum is σ = 19146114108. Its totient is φ = 1435290624.

The previous prime is 5382365759. The next prime is 5382365773. The reversal of 5382365760 is 675632835.

5382365760 is a `hidden beast` number, since 53 + 8 + 23 + 6 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2717328384 + 2665037376 = 52128^2 + 51624^2 .

It is a super-2 number, since 2×5382365760² = 57939722348840755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77907 + ... + 129746.

Almost surely, 2^5382365760 is an apocalyptic number.

It is an amenable number.

5382365760 is an abundant number, since it is smaller than the sum of its proper divisors (13763748348).

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

5382365760 is a wasteful number, since it uses less digits than its factorization.

5382365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207682 (or 207663 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5382365760 is about 73364.6083612528. The cubic root of 5382365760 is about 1752.4988258733.

The spelling of 5382365760 in words is "five billion, three hundred eighty-two million, three hundred sixty-five thousand, seven hundred sixty".