10781561548800 has 2496 divisors, whose sum is σ = 48230201640960. Its totient is φ = 2307674603520.

The previous prime is 10781561548759. The next prime is 10781561548811. The reversal of 10781561548800 is 884516518701.

10781561548800 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 15 + 6 + 1 + 548 + 80 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 23592038172 + ... + 23592038628.

Almost surely, 2^{10781561548800} is an apocalyptic number.

10781561548800 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 10781561548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24115100820480).

10781561548800 is an abundant number, since it is smaller than the sum of its proper divisors (37448640092160).

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

10781561548800 is a wasteful number, since it uses less digits than its factorization.

10781561548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 10781561548800 in words is "ten trillion, seven hundred eighty-one billion, five hundred sixty-one million, five hundred forty-eight thousand, eight hundred".