5118289920 has 576 divisors, whose sum is σ = 19420128000. Its totient is φ = 1242169344.

The previous prime is 5118289903. The next prime is 5118289931. The reversal of 5118289920 is 299828115.

5118289920 is a `hidden beast` number, since 511 + 8 + 28 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 64788441 + ... + 64788519.

It is an arithmetic number, because the mean of its divisors is an integer number (33715500).

Almost surely, 2^5118289920 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 5118289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710064000).

5118289920 is an abundant number, since it is smaller than the sum of its proper divisors (14301838080).

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

5118289920 is a wasteful number, since it uses less digits than its factorization.

5118289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 5118289920 is about 71542.2247347676. The cubic root of 5118289920 is about 1723.3558423416.

The spelling of 5118289920 in words is "five billion, one hundred eighteen million, two hundred eighty-nine thousand, nine hundred twenty".