5011345920 has 480 divisors, whose sum is σ = 19114026624. Its totient is φ = 1097072640.

The previous prime is 5011345903. The next prime is 5011345921. The reversal of 5011345920 is 295431105.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5011345920² = 50227175859801292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5011345921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51663312 + ... + 51663408.

Almost surely, 2^5011345920 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 5011345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557013312).

5011345920 is an abundant number, since it is smaller than the sum of its proper divisors (14102680704).

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

5011345920 is an equidigital number, since it uses as much as digits as its factorization.

5011345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5011345920 is about 70790.8604270354. The cubic root of 5011345920 is about 1711.2683862609.

The spelling of 5011345920 in words is "five billion, eleven million, three hundred forty-five thousand, nine hundred twenty".