11200583678956 has 48 divisors (see below), whose sum is σ = 23724745128000. Its totient is φ = 4516765913088.

The previous prime is 11200583678953. The next prime is 11200583678959. The reversal of 11200583678956 is 65987638500211.

It is an interprime number because it is at equal distance from previous prime (11200583678953) and next prime (11200583678959).

It is a junction number, because it is equal to n+sod(n) for n = 11200583678894 and 11200583678903.

It is not an unprimeable number, because it can be changed into a prime (11200583678953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978411 + ... + 4833058.

It is an arithmetic number, because the mean of its divisors is an integer number (494265523500).

Almost surely, 2^{11200583678956} is an apocalyptic number.

It is an amenable number.

11200583678956 is an abundant number, since it is smaller than the sum of its proper divisors (12524161449044).

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

11200583678956 is a wasteful number, since it uses less digits than its factorization.

11200583678956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815546 (or 5815544 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 11200583678956 in words is "eleven trillion, two hundred billion, five hundred eighty-three million, six hundred seventy-eight thousand, nine hundred fifty-six".