5189261760 has 560 divisors, whose sum is σ = 19982017440. Its totient is φ = 1274019840.

The previous prime is 5189261717. The next prime is 5189261767. The reversal of 5189261760 is 671629815.

5189261760 is a `hidden beast` number, since 518 + 9 + 2 + 61 + 76 + 0 = 666.

It is a super-2 number, since 2×5189261760² = 53856875227596595200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5189261767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20191552 + ... + 20191808.

It is an arithmetic number, because the mean of its divisors is an integer number (35682174).

Almost surely, 2^5189261760 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 5189261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9991008720).

5189261760 is an abundant number, since it is smaller than the sum of its proper divisors (14792755680).

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

5189261760 is a wasteful number, since it uses less digits than its factorization.

5189261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5189261760 is about 72036.5307326776. The cubic root of 5189261760 is about 1731.2848396939.

The spelling of 5189261760 in words is "five billion, one hundred eighty-nine million, two hundred sixty-one thousand, seven hundred sixty".