5511005500000 has 1512 divisors, whose sum is σ = 18790228075752. Its totient is φ = 1585584000000.

The previous prime is 5511005499983. The next prime is 5511005500111. The reversal of 5511005500000 is 55001155.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 423923499994 + ... + 423923500006.

It is an arithmetic number, because the mean of its divisors is an integer number (12427399521).

Almost surely, 2^{5511005500000} is an apocalyptic number.

5511005500000 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 5511005500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395114037876).

5511005500000 is an abundant number, since it is smaller than the sum of its proper divisors (13279222575752).

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

5511005500000 is an frugal number, since it uses more digits than its factorization.

5511005500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

Multiplying 5511005500000 by its sum of digits (22), we get a square (121242121000000 = 11011000²).

5511005500000 divided by its sum of digits (22) gives a square (250500250000 = 500500²).

The spelling of 5511005500000 in words is "five trillion, five hundred eleven billion, five million, five hundred thousand".