11577445048512 has 392 divisors, whose sum is σ = 39395672288000. Its totient is φ = 3305346559488.

The previous prime is 11577445048471. The next prime is 11577445048549. The reversal of 11577445048512 is 21584054477511.

11577445048512 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 7 + 44 + 504 + 85 + 12 = 666.

11577445048512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 456889539 + ... + 456914877.

It is an arithmetic number, because the mean of its divisors is an integer number (100499164000).

Almost surely, 2^{11577445048512} is an apocalyptic number.

11577445048512 is a gapful number since it is divisible by the number (12) 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 11577445048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19697836144000).

11577445048512 is an abundant number, since it is smaller than the sum of its proper divisors (27818227239488).

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

11577445048512 is an equidigital number, since it uses as much as digits as its factorization.

11577445048512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26775 (or 26750 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 54.

The spelling of 11577445048512 in words is "eleven trillion, five hundred seventy-seven billion, four hundred forty-five million, forty-eight thousand, five hundred twelve".