5098827976200 has 576 divisors, whose sum is σ = 20454693048000. Its totient is φ = 1164037754880.

The previous prime is 5098827976139. The next prime is 5098827976219. The reversal of 5098827976200 is 26797288905.

5098827976200 is a `hidden beast` number, since 5 + 0 + 98 + 8 + 279 + 76 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 227280184 + ... + 227302616.

It is an arithmetic number, because the mean of its divisors is an integer number (35511619875).

Almost surely, 2^{5098827976200} is an apocalyptic number.

5098827976200 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 5098827976200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10227346524000).

5098827976200 is an abundant number, since it is smaller than the sum of its proper divisors (15355865071800).

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

5098827976200 is a wasteful number, since it uses less digits than its factorization.

5098827976200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23331 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 5098827976200 in words is "five trillion, ninety-eight billion, eight hundred twenty-seven million, nine hundred seventy-six thousand, two hundred".