1360281985920 has 1536 divisors, whose sum is σ = 5860758758400. Its totient is φ = 285993861120.

The previous prime is 1360281985901. The next prime is 1360281985939. The reversal of 1360281985920 is 295891820631.

1360281985920 is a `hidden beast` number, since 1 + 3 + 602 + 8 + 1 + 9 + 8 + 5 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1360281985901) and next prime (1360281985939).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1117733152 + ... + 1117734368.

It is an arithmetic number, because the mean of its divisors is an integer number (3815598150).

Almost surely, 2^{1360281985920} is an apocalyptic number.

1360281985920 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 1360281985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930379379200).

1360281985920 is an abundant number, since it is smaller than the sum of its proper divisors (4500476772480).

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

1360281985920 is a wasteful number, since it uses less digits than its factorization.

1360281985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1360281985920 in words is "one trillion, three hundred sixty billion, two hundred eighty-one million, nine hundred eighty-five thousand, nine hundred twenty".