1516320000 has 630 divisors, whose sum is σ = 6106890482. Its totient is φ = 373248000.

The previous prime is 1516319999. The next prime is 1516320007. The reversal of 1516320000 is 236151.

It can be written as a sum of positive squares in 5 ways, for example, as 888516864 + 627803136 = 29808^2 + 25056^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516320007) by changing a digit.

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 69 ways as a sum of consecutive naturals, for example, 116639994 + ... + 116640006.

Almost surely, 2^1516320000 is an apocalyptic number.

1516320000 is a gapful number since it is divisible by the number (10) 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 1516320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053445241).

1516320000 is an abundant number, since it is smaller than the sum of its proper divisors (4590570482).

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

1516320000 is an frugal number, since it uses more digits than its factorization.

1516320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1516320000 is about 38939.9537750111. The cubic root of 1516320000 is about 1148.8507737948.

Adding to 1516320000 its reverse (236151), we get a palindrome (1516556151).

The spelling of 1516320000 in words is "one billion, five hundred sixteen million, three hundred twenty thousand".