1375311360 has 160 divisors (see below), whose sum is σ = 4433501952. Its totient is φ = 363683840.

The previous prime is 1375311347. The next prime is 1375311367. The reversal of 1375311360 is 631135731.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375311367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005397 + ... + 1006763.

Almost surely, 2^1375311360 is an apocalyptic number.

1375311360 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 1375311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216750976).

1375311360 is an abundant number, since it is smaller than the sum of its proper divisors (3058190592).

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

1375311360 is a wasteful number, since it uses less digits than its factorization.

1375311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 1375311360 is about 37085.1905752148. The cubic root of 1375311360 is about 1112.0739733065.

The spelling of 1375311360 in words is "one billion, three hundred seventy-five million, three hundred eleven thousand, three hundred sixty".