11289944540160 has 4224 divisors, whose sum is σ = 51913879879680. Its totient is φ = 2312346009600.

The previous prime is 11289944540159. The next prime is 11289944540197. The reversal of 11289944540160 is 6104544998211.

11289944540160 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 9 + 94 + 4 + 540 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a junction number, because it is equal to n+sod(n) for n = 11289944540097 and 11289944540106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 126853309396 + ... + 126853309484.

Almost surely, 2^{11289944540160} is an apocalyptic number.

11289944540160 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 11289944540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25956939939840).

11289944540160 is an abundant number, since it is smaller than the sum of its proper divisors (40623935339520).

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

11289944540160 is a wasteful number, since it uses less digits than its factorization.

11289944540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11289944540160 in words is "eleven trillion, two hundred eighty-nine billion, nine hundred forty-four million, five hundred forty thousand, one hundred sixty".