10809741196800 has 2160 divisors, whose sum is σ = 51019871862960. Its totient is φ = 2160419143680.

The previous prime is 10809741196729. The next prime is 10809741196817. The reversal of 10809741196800 is 869114790801.

10809741196800 is a `hidden beast` number, since 1 + 0 + 80 + 97 + 411 + 9 + 68 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1394261724 + ... + 1394269476.

Almost surely, 2^{10809741196800} is an apocalyptic number.

10809741196800 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 10809741196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25509935931480).

10809741196800 is an abundant number, since it is smaller than the sum of its proper divisors (40210130666160).

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

10809741196800 is a wasteful number, since it uses less digits than its factorization.

10809741196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 10809741196800 in words is "ten trillion, eight hundred nine billion, seven hundred forty-one million, one hundred ninety-six thousand, eight hundred".