54955180900 has 36 divisors (see below), whose sum is σ = 126267613668. Its totient is φ = 20689008640.

The previous prime is 54955180871. The next prime is 54955180913. The reversal of 54955180900 is 908155945.

It can be written as a sum of positive squares in 6 ways, for example, as 1934592256 + 53020588644 = 43984^2 + 230262^2 .

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 11 ways as a sum of consecutive naturals, for example, 16161589 + ... + 16164988.

It is an arithmetic number, because the mean of its divisors is an integer number (3507433713).

Almost surely, 2^54955180900 is an apocalyptic number.

54955180900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54955180900 is an abundant number, since it is smaller than the sum of its proper divisors (71312432768).

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

54955180900 is a wasteful number, since it uses less digits than its factorization.

54955180900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32326608 (or 32326601 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 46.

The spelling of 54955180900 in words is "fifty-four billion, nine hundred fifty-five million, one hundred eighty thousand, nine hundred".