5011619040 has 720 divisors, whose sum is σ = 20032146288. Its totient is φ = 1175150592.

The previous prime is 5011618987. The next prime is 5011619069. The reversal of 5011619040 is 409161105.

5011619040 is a `hidden beast` number, since 5 + 0 + 1 + 1 + 619 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5011618995 and 5011619013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116549259 + ... + 116549301.

Almost surely, 2^5011619040 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 5011619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016073144).

5011619040 is an abundant number, since it is smaller than the sum of its proper divisors (15020527248).

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

5011619040 is a wasteful number, since it uses less digits than its factorization.

5011619040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 5011619040 is about 70792.7894633345. The cubic root of 5011619040 is about 1711.2994739260.

The spelling of 5011619040 in words is "five billion, eleven million, six hundred nineteen thousand, forty".