1360878755328 has 960 divisors, whose sum is σ = 4547108966400. Its totient is φ = 405426954240.

The previous prime is 1360878755309. The next prime is 1360878755333. The reversal of 1360878755328 is 8235578780631.

1360878755328 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 8 + 78 + 7 + 553 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43899314673 + ... + 43899314703.

It is an arithmetic number, because the mean of its divisors is an integer number (4736571840).

Almost surely, 2^{1360878755328} is an apocalyptic number.

1360878755328 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 1360878755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273554483200).

1360878755328 is an abundant number, since it is smaller than the sum of its proper divisors (3186230211072).

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

1360878755328 is an frugal number, since it uses more digits than its factorization.

1360878755328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 1360878755328 in words is "one trillion, three hundred sixty billion, eight hundred seventy-eight million, seven hundred fifty-five thousand, three hundred twenty-eight".