11753435456 has 112 divisors (see below), whose sum is σ = 27104279040. Its totient is φ = 4952862720.

The previous prime is 11753435453. The next prime is 11753435461. The reversal of 11753435456 is 65453435711.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11753435453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11077166 + ... + 11078226.

Almost surely, 2^11753435456 is an apocalyptic number.

11753435456 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 11753435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552139520).

11753435456 is an abundant number, since it is smaller than the sum of its proper divisors (15350843584).

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

11753435456 is a wasteful number, since it uses less digits than its factorization.

11753435456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1462 counting only the distinct ones).

The product of its digits is 756000, while the sum is 44.

The spelling of 11753435456 in words is "eleven billion, seven hundred fifty-three million, four hundred thirty-five thousand, four hundred fifty-six".