1360544085360 has 400 divisors, whose sum is σ = 5067949692960. Its totient is φ = 337229568000.

The previous prime is 1360544085347. The next prime is 1360544085367. The reversal of 1360544085360 is 635804450631.

1360544085360 is a `hidden beast` number, since 1 + 3 + 60 + 54 + 4 + 0 + 8 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360544085367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6421110 + ... + 6629610.

Almost surely, 2^{1360544085360} is an apocalyptic number.

1360544085360 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 1360544085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533974846480).

1360544085360 is an abundant number, since it is smaller than the sum of its proper divisors (3707405607600).

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

1360544085360 is a wasteful number, since it uses less digits than its factorization.

1360544085360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208598 (or 208583 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1360544085360 in words is "one trillion, three hundred sixty billion, five hundred forty-four million, eighty-five thousand, three hundred sixty".