1363600087360 has 224 divisors, whose sum is σ = 3880752809472. Its totient is φ = 446215249920.

The previous prime is 1363600087349. The next prime is 1363600087363. The reversal of 1363600087360 is 637800063631.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363600087363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23722014 + ... + 23779426.

It is an arithmetic number, because the mean of its divisors is an integer number (17324789328).

Almost surely, 2^{1363600087360} is an apocalyptic number.

1363600087360 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 1363600087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940376404736).

1363600087360 is an abundant number, since it is smaller than the sum of its proper divisors (2517152722112).

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

1363600087360 is a wasteful number, since it uses less digits than its factorization.

1363600087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57921 (or 57911 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 1363600087360 in words is "one trillion, three hundred sixty-three billion, six hundred million, eighty-seven thousand, three hundred sixty".