5161812480 has 800 divisors, whose sum is σ = 21104506368. Its totient is φ = 1194393600.

The previous prime is 5161812451. The next prime is 5161812499. The reversal of 5161812480 is 842181615.

5161812480 is a `hidden beast` number, since 5 + 161 + 8 + 12 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70709724 + ... + 70709796.

Almost surely, 2^5161812480 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 5161812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10552253184).

5161812480 is an abundant number, since it is smaller than the sum of its proper divisors (15942693888).

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

5161812480 is a wasteful number, since it uses less digits than its factorization.

5161812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5161812480 is about 71845.7547806410. The cubic root of 5161812480 is about 1728.2268220773.

The spelling of 5161812480 in words is "five billion, one hundred sixty-one million, eight hundred twelve thousand, four hundred eighty".