11752077456 has 200 divisors, whose sum is σ = 39095622720. Its totient is φ = 3338516736.

The previous prime is 11752077451. The next prime is 11752077457. The reversal of 11752077456 is 65477025711.

11752077456 is a `hidden beast` number, since 1 + 1 + 7 + 520 + 7 + 74 + 56 = 666.

11752077456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11752077456² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11752077451) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1620270 + ... + 1627506.

Almost surely, 2^11752077456 is an apocalyptic number.

11752077456 is a gapful number since it is divisible by the number (16) 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 11752077456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547811360).

11752077456 is an abundant number, since it is smaller than the sum of its proper divisors (27343545264).

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

11752077456 is a wasteful number, since it uses less digits than its factorization.

11752077456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7428 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 11752077456 in words is "eleven billion, seven hundred fifty-two million, seventy-seven thousand, four hundred fifty-six".