1363153995360 has 288 divisors, whose sum is σ = 4678017533280. Its totient is φ = 361460219904.

The previous prime is 1363153995341. The next prime is 1363153995443. The reversal of 1363153995360 is 635993513631.

1363153995360 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 15 + 3 + 99 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1363153995297 and 1363153995306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329819854 + ... + 329823986.

It is an arithmetic number, because the mean of its divisors is an integer number (16243116435).

Almost surely, 2^{1363153995360} is an apocalyptic number.

1363153995360 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 1363153995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339008766640).

1363153995360 is an abundant number, since it is smaller than the sum of its proper divisors (3314863537920).

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

1363153995360 is a wasteful number, since it uses less digits than its factorization.

1363153995360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 5904900, while the sum is 54.

The spelling of 1363153995360 in words is "one trillion, three hundred sixty-three billion, one hundred fifty-three million, nine hundred ninety-five thousand, three hundred sixty".