5009878800 has 360 divisors, whose sum is σ = 17929953600. Its totient is φ = 1294894080.

The previous prime is 5009878793. The next prime is 5009878813. The reversal of 5009878800 is 88789005.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21877086 + ... + 21877314.

Almost surely, 2^5009878800 is an apocalyptic number.

5009878800 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 5009878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964976800).

5009878800 is an abundant number, since it is smaller than the sum of its proper divisors (12920074800).

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

5009878800 is a wasteful number, since it uses less digits than its factorization.

5009878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 5009878800 is about 70780.4973138788. The cubic root of 5009878800 is about 1711.1013731697.

The spelling of 5009878800 in words is "five billion, nine million, eight hundred seventy-eight thousand, eight hundred".