5505940177920 has 2376 divisors, whose sum is σ = 24622397864064. Its totient is φ = 1133272498176.

The previous prime is 5505940177883. The next prime is 5505940177921. The reversal of 5505940177920 is 297710495055.

It is a happy number.

5505940177920 is a `hidden beast` number, since 5 + 505 + 9 + 40 + 1 + 7 + 7 + 92 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5505940177921) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 17934658407 + ... + 17934658713.

It is an arithmetic number, because the mean of its divisors is an integer number (10362962064).

Almost surely, 2^{5505940177920} 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 5505940177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12311198932032).

5505940177920 is an abundant number, since it is smaller than the sum of its proper divisors (19116457686144).

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

5505940177920 is a wasteful number, since it uses less digits than its factorization.

5505940177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 5505940177920 in words is "five trillion, five hundred five billion, nine hundred forty million, one hundred seventy-seven thousand, nine hundred twenty".