54550945152 has 512 divisors, whose sum is σ = 185597568000. Its totient is φ = 15611904000.

The previous prime is 54550945139. The next prime is 54550945297. The reversal of 54550945152 is 25154905545.

54550945152 is a `hidden beast` number, since 5 + 4 + 550 + 9 + 45 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54550945098 and 54550945107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77818402 + ... + 77819102.

It is an arithmetic number, because the mean of its divisors is an integer number (362495250).

Almost surely, 2^54550945152 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 54550945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92798784000).

54550945152 is an abundant number, since it is smaller than the sum of its proper divisors (131046622848).

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

54550945152 is a wasteful number, since it uses less digits than its factorization.

54550945152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 54550945152 in words is "fifty-four billion, five hundred fifty million, nine hundred forty-five thousand, one hundred fifty-two".