5511709906920 has 320 divisors, whose sum is σ = 21175661105280. Its totient is φ = 1259599486464.

The previous prime is 5511709906883. The next prime is 5511709906921. The reversal of 5511709906920 is 296099071155.

5511709906920 is a `hidden beast` number, since 551 + 1 + 7 + 0 + 9 + 9 + 0 + 69 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5511709906921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154818562 + ... + 154854158.

It is an arithmetic number, because the mean of its divisors is an integer number (66173940954).

Almost surely, 2^{5511709906920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5511709906920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587830552640).

5511709906920 is an abundant number, since it is smaller than the sum of its proper divisors (15663951198360).

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

5511709906920 is a wasteful number, since it uses less digits than its factorization.

5511709906920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42454 (or 42441 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 5511709906920 in words is "five trillion, five hundred eleven billion, seven hundred nine million, nine hundred six thousand, nine hundred twenty".