1316160000 has 300 divisors, whose sum is σ = 4757025702. Its totient is φ = 350208000.

The previous prime is 1316159969. The next prime is 1316160011. The reversal of 1316160000 is 616131.

1316160000 is a `hidden beast` number, since 1 + 3 + 1 + 61 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 125081856 + 1191078144 = 11184^2 + 34512^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879772 + ... + 2880228.

Almost surely, 2^1316160000 is an apocalyptic number.

1316160000 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 1316160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378512851).

1316160000 is an abundant number, since it is smaller than the sum of its proper divisors (3440865702).

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

1316160000 is an frugal number, since it uses more digits than its factorization.

1316160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1316160000 is about 36278.9194987943. The cubic root of 1316160000 is about 1095.8965572715.

Adding to 1316160000 its reverse (616131), we get a palindrome (1316776131).

The spelling of 1316160000 in words is "one billion, three hundred sixteen million, one hundred sixty thousand".