5165669376 has 660 divisors, whose sum is σ = 18974805696. Its totient is φ = 1393459200.

The previous prime is 5165669347. The next prime is 5165669389. The reversal of 5165669376 is 6739665615.

5165669376 is a `hidden beast` number, since 5 + 1 + 6 + 566 + 9 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6123600) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125991916 + ... + 125991956.

Almost surely, 2^5165669376 is an apocalyptic number.

5165669376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487402848).

5165669376 is an abundant number, since it is smaller than the sum of its proper divisors (13809136320).

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

5165669376 is a wasteful number, since it uses less digits than its factorization.

5165669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 5165669376 is about 71872.5912709428. The cubic root of 5165669376 is about 1728.6571574591.

It can be divided in two parts, 5165 and 669376, that added together give a triangular number (674541 = T₁₁₆₁).

The spelling of 5165669376 in words is "five billion, one hundred sixty-five million, six hundred sixty-nine thousand, three hundred seventy-six".