11564944170120 has 384 divisors, whose sum is σ = 43987887216000. Its totient is φ = 2706945454080.

The previous prime is 11564944170113. The next prime is 11564944170121. The reversal of 11564944170120 is 2107144946511.

11564944170120 is a `hidden beast` number, since 1 + 1 + 56 + 494 + 41 + 70 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11564944170121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1235776 + ... + 4965584.

It is an arithmetic number, because the mean of its divisors is an integer number (114551789625).

Almost surely, 2^{11564944170120} is an apocalyptic number.

11564944170120 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 11564944170120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21993943608000).

11564944170120 is an abundant number, since it is smaller than the sum of its proper divisors (32422943045880).

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

11564944170120 is a wasteful number, since it uses less digits than its factorization.

11564944170120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729875 (or 3729859 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11564944170120 in words is "eleven trillion, five hundred sixty-four billion, nine hundred forty-four million, one hundred seventy thousand, one hundred twenty".