5109012480 has 384 divisors, whose sum is σ = 19218850560. Its totient is φ = 1142292480.

The previous prime is 5109012427. The next prime is 5109012527. The reversal of 5109012480 is 842109015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5109012480² = 52204017041591500800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392379 + ... + 4393541.

It is an arithmetic number, because the mean of its divisors is an integer number (50049090).

Almost surely, 2^5109012480 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 5109012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9609425280).

5109012480 is an abundant number, since it is smaller than the sum of its proper divisors (14109838080).

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

5109012480 is a wasteful number, since it uses less digits than its factorization.

5109012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 5109012480 is about 71477.3564144618. The cubic root of 5109012480 is about 1722.3139578715.

The spelling of 5109012480 in words is "five billion, one hundred nine million, twelve thousand, four hundred eighty".