5098579200 has 648 divisors, whose sum is σ = 21449981280. Its totient is φ = 1139097600.

The previous prime is 5098579193. The next prime is 5098579217. The reversal of 5098579200 is 29758905.

It is a happy number.

5098579200 is a `hidden beast` number, since 50 + 9 + 8 + 579 + 20 + 0 = 666.

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

It is a congruent number.

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, 8236491 + ... + 8237109.

Almost surely, 2^5098579200 is an apocalyptic number.

5098579200 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 5098579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724990640).

5098579200 is an abundant number, since it is smaller than the sum of its proper divisors (16351402080).

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

5098579200 is a wasteful number, since it uses less digits than its factorization.

5098579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5098579200 is about 71404.3360027947. The cubic root of 5098579200 is about 1721.1407611796.

The spelling of 5098579200 in words is "five billion, ninety-eight million, five hundred seventy-nine thousand, two hundred".