11941281792000 has 1520 divisors, whose sum is σ = 48690491747040. Its totient is φ = 2887778304000.

The previous prime is 11941281791993. The next prime is 11941281792007. The reversal of 11941281792000 is 29718214911.

11941281792000 is a `hidden beast` number, since 1 + 19 + 412 + 8 + 17 + 9 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11941281791993) and next prime (11941281792007).

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 (11941281792007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29196287796 + ... + 29196288204.

Almost surely, 2^{11941281792000} is an apocalyptic number.

11941281792000 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 11941281792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24345245873520).

11941281792000 is an abundant number, since it is smaller than the sum of its proper divisors (36749209955040).

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

11941281792000 is an frugal number, since it uses more digits than its factorization.

11941281792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 11941281792000 in words is "eleven trillion, nine hundred forty-one billion, two hundred eighty-one million, seven hundred ninety-two thousand".