5109888000 has 352 divisors, whose sum is σ = 19435822848. Its totient is φ = 1167360000.

The previous prime is 5109887953. The next prime is 5109888011. The reversal of 5109888000 is 8889015.

It is a super-2 number, since 2×5109888000² = 52221910745088000000, 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 5109888000.

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, 2687050 + ... + 2688950.

Almost surely, 2^5109888000 is an apocalyptic number.

5109888000 is a gapful number since it is divisible by the number (50) 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 5109888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717911424).

5109888000 is an abundant number, since it is smaller than the sum of its proper divisors (14325934848).

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

5109888000 is a wasteful number, since it uses less digits than its factorization.

5109888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 5109888000 is about 71483.4806091589. The cubic root of 5109888000 is about 1722.4123352777.

The spelling of 5109888000 in words is "five billion, one hundred nine million, eight hundred eighty-eight thousand".