5375127600 has 300 divisors, whose sum is σ = 20132427216. Its totient is φ = 1370856960.

The previous prime is 5375127557. The next prime is 5375127629. The reversal of 5375127600 is 67215735.

5375127600 is a `hidden beast` number, since 5 + 37 + 5 + 12 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 741594 + ... + 748806.

Almost surely, 2^5375127600 is an apocalyptic number.

5375127600 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 5375127600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066213608).

5375127600 is an abundant number, since it is smaller than the sum of its proper divisors (14757299616).

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

5375127600 is a wasteful number, since it uses less digits than its factorization.

5375127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5375127600 is about 73315.2617126884. The cubic root of 5375127600 is about 1751.7128915904.

The spelling of 5375127600 in words is "five billion, three hundred seventy-five million, one hundred twenty-seven thousand, six hundred".