1388160000 has 330 divisors, whose sum is σ = 5029532222. Its totient is φ = 368640000.

The previous prime is 1388159987. The next prime is 1388160029. The reversal of 1388160000 is 618831.

It can be written as a sum of positive squares in 5 ways, for example, as 372335616 + 1015824384 = 19296^2 + 31872^2 .

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, 5759880 + ... + 5760120.

Almost surely, 2^1388160000 is an apocalyptic number.

1388160000 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 1388160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514766111).

1388160000 is an abundant number, since it is smaller than the sum of its proper divisors (3641372222).

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

1388160000 is an equidigital number, since it uses as much as digits as its factorization.

1388160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1388160000 is about 37258.0192710241. The cubic root of 1388160000 is about 1115.5263724217.

Adding to 1388160000 its reverse (618831), we get a palindrome (1388778831).

The spelling of 1388160000 in words is "one billion, three hundred eighty-eight million, one hundred sixty thousand".