5109882624 has 288 divisors, whose sum is σ = 18841428480. Its totient is φ = 1327104000.

The previous prime is 5109882623. The next prime is 5109882641. The reversal of 5109882624 is 4262889015.

5109882624 is a `hidden beast` number, since 5 + 10 + 9 + 8 + 8 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5109882624² = 52221800862114250752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5109882624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109882623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527424 + ... + 537024.

Almost surely, 2^5109882624 is an apocalyptic number.

5109882624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109882624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9420714240).

5109882624 is an abundant number, since it is smaller than the sum of its proper divisors (13731545856).

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

5109882624 is a wasteful number, since it uses less digits than its factorization.

5109882624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9644 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5109882624 is about 71483.4430060556. The cubic root of 5109882624 is about 1722.4117312402.

The spelling of 5109882624 in words is "five billion, one hundred nine million, eight hundred eighty-two thousand, six hundred twenty-four".