5198774400 has 480 divisors, whose sum is σ = 19834087680. Its totient is φ = 1339545600.

The previous prime is 5198774393. The next prime is 5198774401. The reversal of 5198774400 is 44778915.

It is a happy number.

5198774400 is a `hidden beast` number, since 51 + 98 + 77 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (5198774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8034877 + ... + 8035523.

It is an arithmetic number, because the mean of its divisors is an integer number (41321016).

Almost surely, 2^5198774400 is an apocalyptic number.

5198774400 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 5198774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917043840).

5198774400 is an abundant number, since it is smaller than the sum of its proper divisors (14635313280).

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

5198774400 is a wasteful number, since it uses less digits than its factorization.

5198774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5198774400 is about 72102.5270014859. The cubic root of 5198774400 is about 1732.3420893912.

The spelling of 5198774400 in words is "five billion, one hundred ninety-eight million, seven hundred seventy-four thousand, four hundred".