11256563136 has 224 divisors, whose sum is σ = 36750719488. Its totient is φ = 2961100800.

The previous prime is 11256563113. The next prime is 11256563159. The reversal of 11256563136 is 63136565211.

It is an interprime number because it is at equal distance from previous prime (11256563113) and next prime (11256563159).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 11256563094 and 11256563103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10709811 + ... + 10710861.

It is an arithmetic number, because the mean of its divisors is an integer number (164065712).

Almost surely, 2^11256563136 is an apocalyptic number.

11256563136 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 11256563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375359744).

11256563136 is an abundant number, since it is smaller than the sum of its proper divisors (25494156352).

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

11256563136 is a wasteful number, since it uses less digits than its factorization.

11256563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1689 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The spelling of 11256563136 in words is "eleven billion, two hundred fifty-six million, five hundred sixty-three thousand, one hundred thirty-six".