5106146760 has 576 divisors, whose sum is σ = 20077424640. Its totient is φ = 1117670400.

The previous prime is 5106146753. The next prime is 5106146777. The reversal of 5106146760 is 676416015.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40205817 + ... + 40205943.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^5106146760 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 5106146760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038712320).

5106146760 is an abundant number, since it is smaller than the sum of its proper divisors (14971277880).

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

5106146760 is a wasteful number, since it uses less digits than its factorization.

5106146760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5106146760 is about 71457.3072540521. The cubic root of 5106146760 is about 1721.9918739272.

The spelling of 5106146760 in words is "five billion, one hundred six million, one hundred forty-six thousand, seven hundred sixty".