5075397600 has 576 divisors, whose sum is σ = 21544621056. Its totient is φ = 1007124480.

The previous prime is 5075397589. The next prime is 5075397659. The reversal of 5075397600 is 67935705.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3712117 + ... + 3713483.

It is an arithmetic number, because the mean of its divisors is an integer number (37403856).

Almost surely, 2^5075397600 is an apocalyptic number.

5075397600 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 5075397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772310528).

5075397600 is an abundant number, since it is smaller than the sum of its proper divisors (16469223456).

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

5075397600 is a wasteful number, since it uses less digits than its factorization.

5075397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 5075397600 is about 71241.8247941474. The cubic root of 5075397600 is about 1718.5283066568.

The spelling of 5075397600 in words is "five billion, seventy-five million, three hundred ninety-seven thousand, six hundred".