5166918120 has 384 divisors, whose sum is σ = 20320554240. Its totient is φ = 1025556480.

The previous prime is 5166918101. The next prime is 5166918131. The reversal of 5166918120 is 218196615.

5166918120 = T₇₇₃₅ + T₇₇₃₆ + ... + T₇₉₀₃.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2412250 + ... + 2414390.

It is an arithmetic number, because the mean of its divisors is an integer number (52918110).

Almost surely, 2^5166918120 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 5166918120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160277120).

5166918120 is an abundant number, since it is smaller than the sum of its proper divisors (15153636120).

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

5166918120 is a wasteful number, since it uses less digits than its factorization.

5166918120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 5166918120 is about 71881.2779519118. The cubic root of 5166918120 is about 1728.7964408818.

The spelling of 5166918120 in words is "five billion, one hundred sixty-six million, nine hundred eighteen thousand, one hundred twenty".