5106596544 has 504 divisors, whose sum is σ = 18700943040. Its totient is φ = 1322237952.

The previous prime is 5106596533. The next prime is 5106596557. The reversal of 5106596544 is 4456956015.

5106596544 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 596 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 5106596544.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13914249 + ... + 13914615.

Almost surely, 2^5106596544 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 5106596544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350471520).

5106596544 is an abundant number, since it is smaller than the sum of its proper divisors (13594346496).

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

5106596544 is a wasteful number, since it uses less digits than its factorization.

5106596544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5106596544 is about 71460.4544066157. The cubic root of 5106596544 is about 1722.0424340128.

The spelling of 5106596544 in words is "five billion, one hundred six million, five hundred ninety-six thousand, five hundred forty-four".