1361677870080 has 1056 divisors, whose sum is σ = 5737399724160. Its totient is φ = 294298583040.

The previous prime is 1361677870057. The next prime is 1361677870087. The reversal of 1361677870080 is 800787761631.

1361677870080 is a `hidden beast` number, since 13 + 616 + 7 + 7 + 8 + 7 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 1361677869999 and 1361677870026.

It is not an unprimeable number, because it can be changed into a prime (1361677870087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163718082 + ... + 163726398.

Almost surely, 2^{1361677870080} is an apocalyptic number.

1361677870080 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 1361677870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868699862080).

1361677870080 is an abundant number, since it is smaller than the sum of its proper divisors (4375721854080).

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

1361677870080 is a wasteful number, since it uses less digits than its factorization.

1361677870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8395 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 1361677870080 in words is "one trillion, three hundred sixty-one billion, six hundred seventy-seven million, eight hundred seventy thousand, eighty".