1315872000 has 288 divisors, whose sum is σ = 4859487360. Its totient is φ = 350668800.

The previous prime is 1315871993. The next prime is 1315872001. The reversal of 1315872000 is 2785131.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315872001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863239 + ... + 864761.

It is an arithmetic number, because the mean of its divisors is an integer number (16873220).

Almost surely, 2^1315872000 is an apocalyptic number.

1315872000 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 1315872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429743680).

1315872000 is an abundant number, since it is smaller than the sum of its proper divisors (3543615360).

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

1315872000 is an equidigital number, since it uses as much as digits as its factorization.

1315872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1315872000 is about 36274.9500344246. The cubic root of 1315872000 is about 1095.8166173370.

It can be divided in two parts, 13158 and 72000, that added together give a palindrome (85158).

The spelling of 1315872000 in words is "one billion, three hundred fifteen million, eight hundred seventy-two thousand".