5511106006000 has 320 divisors, whose sum is σ = 15397347363840. Its totient is φ = 1868745600000.

The previous prime is 5511106005991. The next prime is 5511106006103. The reversal of 5511106006000 is 6006011155.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1825472491 + ... + 1825475509.

It is an arithmetic number, because the mean of its divisors is an integer number (48116710512).

Almost surely, 2^{5511106006000} is an apocalyptic number.

5511106006000 is a gapful number since it is divisible by the number (50) 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 5511106006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698673681920).

5511106006000 is an abundant number, since it is smaller than the sum of its proper divisors (9886241357840).

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

5511106006000 is a wasteful number, since it uses less digits than its factorization.

5511106006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 5511106006000 in words is "five trillion, five hundred eleven billion, one hundred six million, six thousand".