1350180607776 has 384 divisors, whose sum is σ = 4874758060032. Its totient is φ = 315823104000.

The previous prime is 1350180607757. The next prime is 1350180607813. The reversal of 1350180607776 is 6777060810531.

It is a happy number.

It is a super-2 number, since 2×1350180607776² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3768591 + ... + 4111281.

It is an arithmetic number, because the mean of its divisors is an integer number (12694682448).

Almost surely, 2^{1350180607776} is an apocalyptic number.

1350180607776 is a gapful number since it is divisible by the number (16) 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 1350180607776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437379030016).

1350180607776 is an abundant number, since it is smaller than the sum of its proper divisors (3524577452256).

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

1350180607776 is a wasteful number, since it uses less digits than its factorization.

1350180607776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342776 (or 342768 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 1350180607776 in words is "one trillion, three hundred fifty billion, one hundred eighty million, six hundred seven thousand, seven hundred seventy-six".