11560400709984 has 576 divisors, whose sum is σ = 39030800320512. Its totient is φ = 3176912793600.

The previous prime is 11560400709973. The next prime is 11560400710051. The reversal of 11560400709984 is 48990700406511.

11560400709984 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 0 + 400 + 70 + 99 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11560400709984.

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, 2706717769 + ... + 2706722039.

It is an arithmetic number, because the mean of its divisors is an integer number (67761806112).

Almost surely, 2^{11560400709984} is an apocalyptic number.

11560400709984 is a gapful number since it is divisible by the number (14) 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 11560400709984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19515400160256).

11560400709984 is an abundant number, since it is smaller than the sum of its proper divisors (27470399610528).

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

11560400709984 is a wasteful number, since it uses less digits than its factorization.

11560400709984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11560400709984 in words is "eleven trillion, five hundred sixty billion, four hundred million, seven hundred nine thousand, nine hundred eighty-four".