11000126872800 has 576 divisors, whose sum is σ = 42870597981120. Its totient is φ = 2706048000000.

The previous prime is 11000126872793. The next prime is 11000126872849. The reversal of 11000126872800 is 827862100011.

11000126872800 is a `hidden beast` number, since 110 + 0 + 0 + 1 + 268 + 7 + 280 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488861550 + ... + 488884050.

It is an arithmetic number, because the mean of its divisors is an integer number (74428121495).

Almost surely, 2^{11000126872800} is an apocalyptic number.

11000126872800 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 11000126872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21435298990560).

11000126872800 is an abundant number, since it is smaller than the sum of its proper divisors (31870471108320).

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

11000126872800 is a wasteful number, since it uses less digits than its factorization.

11000126872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24284 (or 24265 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 11000126872800 its reverse (827862100011), we get a palindrome (11827988972811).

The spelling of 11000126872800 in words is "eleven trillion, one hundred twenty-six million, eight hundred seventy-two thousand, eight hundred".