5975424000 has 1408 divisors, whose sum is σ = 28612147200. Its totient is φ = 1194393600.

The previous prime is 5975423963. The next prime is 5975424001. The reversal of 5975424000 is 4245795.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5975424001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314495991 + ... + 314496009.

Almost surely, 2^5975424000 is an apocalyptic number.

5975424000 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 5975424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306073600).

5975424000 is an abundant number, since it is smaller than the sum of its proper divisors (22636723200).

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

5975424000 is a wasteful number, since it uses less digits than its factorization.

5975424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5975424000 is about 77300.8667480514. The cubic root of 5975424000 is about 1814.6362224285.

Adding to 5975424000 its reverse (4245795), we get a palindrome (5979669795).

The spelling of 5975424000 in words is "five billion, nine hundred seventy-five million, four hundred twenty-four thousand".