5117588640 has 192 divisors, whose sum is σ = 18179925120. Its totient is φ = 1344245760.

The previous prime is 5117588639. The next prime is 5117588647. The reversal of 5117588640 is 468857115.

5117588640 is a `hidden beast` number, since 5 + 1 + 1 + 7 + 588 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5117588647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280600 + ... + 298280.

It is an arithmetic number, because the mean of its divisors is an integer number (94687110).

Almost surely, 2^5117588640 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 5117588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089962560).

5117588640 is an abundant number, since it is smaller than the sum of its proper divisors (13062336480).

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

5117588640 is a wasteful number, since it uses less digits than its factorization.

5117588640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17772 (or 17758 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 5117588640 is about 71537.3234053386. The cubic root of 5117588640 is about 1723.2771304929.

The spelling of 5117588640 in words is "five billion, one hundred seventeen million, five hundred eighty-eight thousand, six hundred forty".