11941696512000 has 1568 divisors, whose sum is σ = 47365442555184. Its totient is φ = 2993946624000.

The previous prime is 11941696511989. The next prime is 11941696512001. The reversal of 11941696512000 is 21569614911.

11941696512000 is a `hidden beast` number, since 1 + 1 + 9 + 41 + 6 + 96 + 512 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1711115145216 + 10230581366784 = 1308096^2 + 3198528^2 .

It is a super-2 number, since 2×11941696512000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11941696512001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12690431530 + ... + 12690432470.

Almost surely, 2^{11941696512000} is an apocalyptic number.

11941696512000 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 11941696512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23682721277592).

11941696512000 is an abundant number, since it is smaller than the sum of its proper divisors (35423746043184).

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

11941696512000 is an frugal number, since it uses more digits than its factorization.

11941696512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11941696512000 in words is "eleven trillion, nine hundred forty-one billion, six hundred ninety-six million, five hundred twelve thousand".