5181677280 has 288 divisors, whose sum is σ = 19659144960. Its totient is φ = 1234206720.

The previous prime is 5181677273. The next prime is 5181677297. The reversal of 5181677280 is 827761815.

It is a happy number.

5181677280 is a `hidden beast` number, since 518 + 1 + 67 + 72 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575856 + ... + 584784.

It is an arithmetic number, because the mean of its divisors is an integer number (68260920).

Almost surely, 2^5181677280 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 5181677280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9829572480).

5181677280 is an abundant number, since it is smaller than the sum of its proper divisors (14477467680).

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

5181677280 is a wasteful number, since it uses less digits than its factorization.

5181677280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8994 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 5181677280 is about 71983.8681928111. The cubic root of 5181677280 is about 1730.4409625813.

The spelling of 5181677280 in words is "five billion, one hundred eighty-one million, six hundred seventy-seven thousand, two hundred eighty".