1315078668288 has 1216 divisors, whose sum is σ = 5153950924800. Its totient is φ = 321052999680.

The previous prime is 1315078668287. The next prime is 1315078668317. The reversal of 1315078668288 is 8828668705131.

It is a tau number, because it is divible by the number of its divisors (1216).

It is a super-2 number, since 2×1315078668288² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315078668287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10354950081 + ... + 10354950207.

Almost surely, 2^{1315078668288} is an apocalyptic number.

1315078668288 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 1315078668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576975462400).

1315078668288 is an abundant number, since it is smaller than the sum of its proper divisors (3838872256512).

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

1315078668288 is an equidigital number, since it uses as much as digits as its factorization.

1315078668288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 1315078668288 in words is "one trillion, three hundred fifteen billion, seventy-eight million, six hundred sixty-eight thousand, two hundred eighty-eight".