5055935040 has 336 divisors, whose sum is σ = 18965314368. Its totient is φ = 1228787712.

The previous prime is 5055935029. The next prime is 5055935153. The reversal of 5055935040 is 405395505.

5055935040 is a `hidden beast` number, since 50 + 559 + 3 + 50 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5055934986 and 5055935004.

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, 3106707 + ... + 3108333.

It is an arithmetic number, because the mean of its divisors is an integer number (56444388).

Almost surely, 2^5055935040 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 5055935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9482657184).

5055935040 is an abundant number, since it is smaller than the sum of its proper divisors (13909379328).

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

5055935040 is a wasteful number, since it uses less digits than its factorization.

5055935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 5055935040 is about 71105.0985513697. The cubic root of 5055935040 is about 1716.3288202254.

The spelling of 5055935040 in words is "five billion, fifty-five million, nine hundred thirty-five thousand, forty".