1315209996288 has 576 divisors, whose sum is σ = 4168854144000. Its totient is φ = 413104914432.

The previous prime is 1315209996263. The next prime is 1315209996293. The reversal of 1315209996288 is 8826999025131.

1315209996288 is a `hidden beast` number, since 1 + 315 + 209 + 9 + 96 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-5 number, since 5×1315209996288⁵ (a number of 62 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3470210883 + ... + 3470211261.

It is an arithmetic number, because the mean of its divisors is an integer number (7237594000).

Almost surely, 2^{1315209996288} is an apocalyptic number.

1315209996288 is a gapful number since it is divisible by the number (18) 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 1315209996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084427072000).

1315209996288 is an abundant number, since it is smaller than the sum of its proper divisors (2853644147712).

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

1315209996288 is an equidigital number, since it uses as much as digits as its factorization.

1315209996288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 1315209996288 in words is "one trillion, three hundred fifteen billion, two hundred nine million, nine hundred ninety-six thousand, two hundred eighty-eight".