5010405120 has 576 divisors, whose sum is σ = 20603520000. Its totient is φ = 1129365504.

The previous prime is 5010405109. The next prime is 5010405157. The reversal of 5010405120 is 215040105.

5010405120 is a `hidden beast` number, since 50 + 104 + 0 + 512 + 0 = 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 5010405093 and 5010405102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33626806 + ... + 33626954.

It is an arithmetic number, because the mean of its divisors is an integer number (35770000).

Almost surely, 2^5010405120 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 5010405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301760000).

5010405120 is an abundant number, since it is smaller than the sum of its proper divisors (15593114880).

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

5010405120 is a wasteful number, since it uses less digits than its factorization.

5010405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5010405120 is about 70784.2151895463. The cubic root of 5010405120 is about 1711.1612918075.

Adding to 5010405120 its reverse (215040105), we get a palindrome (5225445225).

The spelling of 5010405120 in words is "five billion, ten million, four hundred five thousand, one hundred twenty".