5116652640 has 288 divisors, whose sum is σ = 19145258496. Its totient is φ = 1234068480.

The previous prime is 5116652621. The next prime is 5116652663. The reversal of 5116652640 is 462566115.

5116652640 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 6 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5116652595 and 5116652604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3594969 + ... + 3596391.

It is an arithmetic number, because the mean of its divisors is an integer number (66476592).

Almost surely, 2^5116652640 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 5116652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9572629248).

5116652640 is an abundant number, since it is smaller than the sum of its proper divisors (14028605856).

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

5116652640 is a wasteful number, since it uses less digits than its factorization.

5116652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5116652640 is about 71530.7810666150. The cubic root of 5116652640 is about 1723.1720624061.

It can be divided in two parts, 5116 and 652640, that added together give a palindrome (657756).

The spelling of 5116652640 in words is "five billion, one hundred sixteen million, six hundred fifty-two thousand, six hundred forty".