5390592000 has 192 divisors, whose sum is σ = 17938065600. Its totient is φ = 1437286400.

The previous prime is 5390591959. The next prime is 5390592037. The reversal of 5390592000 is 2950935.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5390592000² = 58116964220928000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 764491 + ... + 771509.

It is an arithmetic number, because the mean of its divisors is an integer number (93427425).

Almost surely, 2^5390592000 is an apocalyptic number.

5390592000 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 5390592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8969032800).

5390592000 is an abundant number, since it is smaller than the sum of its proper divisors (12547473600).

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

5390592000 is an equidigital number, since it uses as much as digits as its factorization.

5390592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 5390592000 is about 73420.6510458740. The cubic root of 5390592000 is about 1753.3911929258.

The spelling of 5390592000 in words is "five billion, three hundred ninety million, five hundred ninety-two thousand".