11781149937120 has 480 divisors, whose sum is σ = 42719508615168. Its totient is φ = 3055432015872.

The previous prime is 11781149937079. The next prime is 11781149937149. The reversal of 11781149937120 is 2173994118711.

11781149937120 is a `hidden beast` number, since 1 + 1 + 7 + 81 + 1 + 499 + 3 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1718116732 + ... + 1718123588.

Almost surely, 2^{11781149937120} is an apocalyptic number.

11781149937120 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 11781149937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359754307584).

11781149937120 is an abundant number, since it is smaller than the sum of its proper divisors (30938358678048).

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

11781149937120 is a wasteful number, since it uses less digits than its factorization.

11781149937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 11781149937120 in words is "eleven trillion, seven hundred eighty-one billion, one hundred forty-nine million, nine hundred thirty-seven thousand, one hundred twenty".