5375838600 has 288 divisors, whose sum is σ = 20854959840. Its totient is φ = 1226496000.

The previous prime is 5375838593. The next prime is 5375838659. The reversal of 5375838600 is 68385735.

5375838600 is a `hidden beast` number, since 5 + 3 + 7 + 5 + 8 + 38 + 600 = 666.

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

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, 328615 + ... + 344585.

It is an arithmetic number, because the mean of its divisors is an integer number (72413055).

Almost surely, 2^5375838600 is an apocalyptic number.

5375838600 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 5375838600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10427479920).

5375838600 is an abundant number, since it is smaller than the sum of its proper divisors (15479121240).

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

5375838600 is a wasteful number, since it uses less digits than its factorization.

5375838600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16021 (or 16009 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5375838600 is about 73320.1104745485. The cubic root of 5375838600 is about 1751.7901246689.

The spelling of 5375838600 in words is "five billion, three hundred seventy-five million, eight hundred thirty-eight thousand, six hundred".