5093215200 has 360 divisors, whose sum is σ = 18937178568. Its totient is φ = 1331665920.

The previous prime is 5093215159. The next prime is 5093215229. The reversal of 5093215200 is 25123905.

5093215200 is a `hidden beast` number, since 50 + 93 + 2 + 1 + 520 + 0 = 666.

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

It is a super-2 number, since 2×5093215200² = 51881682147022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3433659 + ... + 3435141.

Almost surely, 2^5093215200 is an apocalyptic number.

5093215200 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 5093215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9468589284).

5093215200 is an abundant number, since it is smaller than the sum of its proper divisors (13843963368).

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

5093215200 is a wasteful number, since it uses less digits than its factorization.

5093215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5093215200 is about 71366.7653743674. The cubic root of 5093215200 is about 1720.5369695365.

The spelling of 5093215200 in words is "five billion, ninety-three million, two hundred fifteen thousand, two hundred".