11215675800 has 768 divisors, whose sum is σ = 46282752000. Its totient is φ = 2443461120.

The previous prime is 11215675799. The next prime is 11215675841. The reversal of 11215675800 is 857651211.

11215675800 is a `hidden beast` number, since 1 + 1 + 2 + 15 + 67 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104819347 + ... + 104819453.

It is an arithmetic number, because the mean of its divisors is an integer number (60264000).

Almost surely, 2^11215675800 is an apocalyptic number.

11215675800 is a gapful number since it is divisible by the number (10) 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 11215675800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141376000).

11215675800 is an abundant number, since it is smaller than the sum of its proper divisors (35067076200).

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

11215675800 is a wasteful number, since it uses less digits than its factorization.

11215675800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 11215675800 in words is "eleven billion, two hundred fifteen million, six hundred seventy-five thousand, eight hundred".