1366087680000 has 1200 divisors, whose sum is σ = 5204191250720. Its totient is φ = 358318080000.

The previous prime is 1366087679933. The next prime is 1366087680011. The reversal of 1366087680000 is 867806631.

1366087680000 is a `hidden beast` number, since 1 + 36 + 608 + 7 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22394879970 + ... + 22394880030.

Almost surely, 2^{1366087680000} is an apocalyptic number.

1366087680000 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 1366087680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602095625360).

1366087680000 is an abundant number, since it is smaller than the sum of its proper divisors (3838103570720).

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

1366087680000 is an frugal number, since it uses more digits than its factorization.

1366087680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1366087680000 in words is "one trillion, three hundred sixty-six billion, eighty-seven million, six hundred eighty thousand".