5093431200 has 1152 divisors, whose sum is σ = 23151018240. Its totient is φ = 1061683200.

The previous prime is 5093431181. The next prime is 5093431207. The reversal of 5093431200 is 21343905.

5093431200 is a `hidden beast` number, since 509 + 34 + 3 + 120 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5093431207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52509552 + ... + 52509648.

It is an arithmetic number, because the mean of its divisors is an integer number (20096370).

Almost surely, 2^5093431200 is an apocalyptic number.

5093431200 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 5093431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575509120).

5093431200 is an abundant number, since it is smaller than the sum of its proper divisors (18057587040).

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

5093431200 is a wasteful number, since it uses less digits than its factorization.

5093431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5093431200 is about 71368.2786677667. The cubic root of 5093431200 is about 1720.5612914836.

The spelling of 5093431200 in words is "five billion, ninety-three million, four hundred thirty-one thousand, two hundred".