11461771200000 has 960 divisors, whose sum is σ = 42768381148416. Its totient is φ = 2703052800000.

The previous prime is 11461771199939. The next prime is 11461771200001. The reversal of 11461771200000 is 217716411.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×11461771200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461771200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1953597067 + ... + 1953602933.

Almost surely, 2^{11461771200000} is an apocalyptic number.

11461771200000 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 11461771200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384190574208).

11461771200000 is an abundant number, since it is smaller than the sum of its proper divisors (31306609948416).

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

11461771200000 is an frugal number, since it uses more digits than its factorization.

11461771200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5925 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

Adding to 11461771200000 its reverse (217716411), we get a palindrome (11461988916411).

The spelling of 11461771200000 in words is "eleven trillion, four hundred sixty-one billion, seven hundred seventy-one million, two hundred thousand".