5819520000 has 440 divisors, whose sum is σ = 22202842816. Its totient is φ = 1327104000.

The previous prime is 5819519983. The next prime is 5819520011. The reversal of 5819520000 is 259185.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5819520000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13439784 + ... + 13440216.

Almost surely, 2^5819520000 is an apocalyptic number.

5819520000 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 5819520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101421408).

5819520000 is an abundant number, since it is smaller than the sum of its proper divisors (16383322816).

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

5819520000 is an equidigital number, since it uses as much as digits as its factorization.

5819520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5819520000 is about 76285.7784911447. The cubic root of 5819520000 is about 1798.7151324428.

Adding to 5819520000 its reverse (259185), we get a palindrome (5819779185).

The spelling of 5819520000 in words is "five billion, eight hundred nineteen million, five hundred twenty thousand".