5181559920 has 480 divisors, whose sum is σ = 19516161600. Its totient is φ = 1226244096.

The previous prime is 5181559909. The next prime is 5181559937. The reversal of 5181559920 is 299551815.

5181559920 is a `hidden beast` number, since 5 + 1 + 8 + 1 + 559 + 92 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 14678464 + ... + 14678816.

It is an arithmetic number, because the mean of its divisors is an integer number (40658670).

Almost surely, 2^5181559920 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 5181559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9758080800).

5181559920 is an abundant number, since it is smaller than the sum of its proper divisors (14334601680).

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

5181559920 is a wasteful number, since it uses less digits than its factorization.

5181559920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The square root of 5181559920 is about 71983.0530055512. The cubic root of 5181559920 is about 1730.4278982090.

The spelling of 5181559920 in words is "five billion, one hundred eighty-one million, five hundred fifty-nine thousand, nine hundred twenty".