11051781874560 has 768 divisors, whose sum is σ = 46020991910400. Its totient is φ = 2387413647360.

The previous prime is 11051781874513. The next prime is 11051781874583. The reversal of 11051781874560 is 6547818715011.

11051781874560 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 1 + 7 + 8 + 1 + 8 + 74 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11051781874497 and 11051781874506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322502547 + ... + 322536813.

It is an arithmetic number, because the mean of its divisors is an integer number (59923166550).

Almost surely, 2^{11051781874560} is an apocalyptic number.

11051781874560 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 11051781874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23010495955200).

11051781874560 is an abundant number, since it is smaller than the sum of its proper divisors (34969210035840).

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

11051781874560 is a wasteful number, since it uses less digits than its factorization.

11051781874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34739 (or 34724 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 54.

The spelling of 11051781874560 in words is "eleven trillion, fifty-one billion, seven hundred eighty-one million, eight hundred seventy-four thousand, five hundred sixty".