11256428445696 has 1800 divisors, whose sum is σ = 41655213895680. Its totient is φ = 3015222755328.

The previous prime is 11256428445679. The next prime is 11256428445697. The reversal of 11256428445696 is 69654482465211.

11256428445696 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 6 + 4 + 28 + 44 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11256428445697) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88633294785 + ... + 88633294911.

Almost surely, 2^{11256428445696} is an apocalyptic number.

11256428445696 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 11256428445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827606947840).

11256428445696 is an abundant number, since it is smaller than the sum of its proper divisors (30398785449984).

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

11256428445696 is an equidigital number, since it uses as much as digits as its factorization.

11256428445696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 215 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 11256428445696 in words is "eleven trillion, two hundred fifty-six billion, four hundred twenty-eight million, four hundred forty-five thousand, six hundred ninety-six".