11027054556000 has 960 divisors, whose sum is σ = 48975861078144. Its totient is φ = 2372198400000.

The previous prime is 11027054555939. The next prime is 11027054556019. The reversal of 11027054556000 is 65545072011.

11027054556000 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 7 + 0 + 5 + 45 + 5 + 600 + 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 (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38413000 + ... + 38699000.

Almost surely, 2^{11027054556000} is an apocalyptic number.

11027054556000 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 11027054556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24487930539072).

11027054556000 is an abundant number, since it is smaller than the sum of its proper divisors (37948806522144).

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

11027054556000 is a wasteful number, since it uses less digits than its factorization.

11027054556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286062 (or 286035 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 11027054556000 in words is "eleven trillion, twenty-seven billion, fifty-four million, five hundred fifty-six thousand".