1361680087680 has 1024 divisors, whose sum is σ = 5419872000000. Its totient is φ = 324292792320.

The previous prime is 1361680087639. The next prime is 1361680087711. The reversal of 1361680087680 is 867800861631.

1361680087680 is a `hidden beast` number, since 13 + 616 + 8 + 0 + 0 + 8 + 7 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1361680087680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 908391571 + ... + 908393069.

It is an arithmetic number, because the mean of its divisors is an integer number (5292843750).

Almost surely, 2^{1361680087680} is an apocalyptic number.

1361680087680 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 1361680087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709936000000).

1361680087680 is an abundant number, since it is smaller than the sum of its proper divisors (4058191912320).

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

1361680087680 is an equidigital number, since it uses as much as digits as its factorization.

1361680087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1361680087680 in words is "one trillion, three hundred sixty-one billion, six hundred eighty million, eighty-seven thousand, six hundred eighty".