1081136460800 has 264 divisors, whose sum is σ = 3095523838080. Its totient is φ = 370012979200.

The previous prime is 1081136460799. The next prime is 1081136460823. The reversal of 1081136460800 is 80646311801.

It is a super-2 number, since 2×1081136460800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4674281 + ... + 4900119.

Almost surely, 2^{1081136460800} is an apocalyptic number.

1081136460800 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 1081136460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547761919040).

1081136460800 is an abundant number, since it is smaller than the sum of its proper divisors (2014387377280).

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

1081136460800 is a wasteful number, since it uses less digits than its factorization.

1081136460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225897 (or 225874 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 1081136460800 in words is "one trillion, eighty-one billion, one hundred thirty-six million, four hundred sixty thousand, eight hundred".