11191984560 has 240 divisors, whose sum is σ = 39535112448. Its totient is φ = 2833459200.

The previous prime is 11191984547. The next prime is 11191984571. The reversal of 11191984560 is 6548919111.

11191984560 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 1 + 9 + 84 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178230 + ... + 1187690.

Almost surely, 2^11191984560 is an apocalyptic number.

11191984560 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 11191984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767556224).

11191984560 is an abundant number, since it is smaller than the sum of its proper divisors (28343127888).

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

11191984560 is a wasteful number, since it uses less digits than its factorization.

11191984560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9564 (or 9555 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 11191984560 in words is "eleven billion, one hundred ninety-one million, nine hundred eighty-four thousand, five hundred sixty".