11776313127120 has 160 divisors (see below), whose sum is σ = 36607760524800. Its totient is φ = 3131653324800.

The previous prime is 11776313127109. The next prime is 11776313127199. The reversal of 11776313127120 is 2172131367711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204823017 + ... + 204880503.

It is an arithmetic number, because the mean of its divisors is an integer number (228798503280).

Almost surely, 2^{11776313127120} is an apocalyptic number.

11776313127120 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 11776313127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18303880262400).

11776313127120 is an abundant number, since it is smaller than the sum of its proper divisors (24831447397680).

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

11776313127120 is a wasteful number, since it uses less digits than its factorization.

11776313127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59853 (or 59847 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 11776313127120 in words is "eleven trillion, seven hundred seventy-six billion, three hundred thirteen million, one hundred twenty-seven thousand, one hundred twenty".