11511797781120 has 3072 divisors, whose sum is σ = 51211498060800. Its totient is φ = 2132709212160.

The previous prime is 11511797781119. The next prime is 11511797781131. The reversal of 11511797781120 is 2118779711511.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 105612823626 + ... + 105612823734.

It is an arithmetic number, because the mean of its divisors is an integer number (16670409525).

Almost surely, 2^{11511797781120} is an apocalyptic number.

11511797781120 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 11511797781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25605749030400).

11511797781120 is an abundant number, since it is smaller than the sum of its proper divisors (39699700279680).

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

11511797781120 is a wasteful number, since it uses less digits than its factorization.

11511797781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 51.

The spelling of 11511797781120 in words is "eleven trillion, five hundred eleven billion, seven hundred ninety-seven million, seven hundred eighty-one thousand, one hundred twenty".