5192064000 has 264 divisors, whose sum is σ = 18714132528. Its totient is φ = 1384243200.

The previous prime is 5192063969. The next prime is 5192064011. The reversal of 5192064000 is 4602915.

5192064000 is a `hidden beast` number, since 5 + 19 + 2 + 0 + 640 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1149747 + ... + 1154253.

Almost surely, 2^5192064000 is an apocalyptic number.

5192064000 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 5192064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357066264).

5192064000 is an abundant number, since it is smaller than the sum of its proper divisors (13522068528).

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

5192064000 is a wasteful number, since it uses less digits than its factorization.

5192064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5192064000 is about 72055.9782391440. The cubic root of 5192064000 is about 1731.5964191849.

Adding to 5192064000 its reverse (4602915), we get a palindrome (5196666915).

The spelling of 5192064000 in words is "five billion, one hundred ninety-two million, sixty-four thousand".