5009760000 has 810 divisors, whose sum is σ = 21292303032. Its totient is φ = 1128960000.

The previous prime is 5009759987. The next prime is 5009760011. The reversal of 5009760000 is 679005.

5009760000 is a `hidden beast` number, since 50 + 0 + 9 + 7 + 600 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 70559965 + ... + 70560035.

Almost surely, 2^5009760000 is an apocalyptic number.

5009760000 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 5009760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10646151516).

5009760000 is an abundant number, since it is smaller than the sum of its proper divisors (16282543032).

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

5009760000 is an equidigital number, since it uses as much as digits as its factorization.

5009760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5009760000 is about 70779.6580946814. The cubic root of 5009760000 is about 1711.0878478625.

The spelling of 5009760000 in words is "five billion, nine million, seven hundred sixty thousand".