55384915600 has 225 divisors, whose sum is σ = 158656376685. Its totient is φ = 18525964800.

The previous prime is 55384915511. The next prime is 55384915631. The reversal of 55384915600 is 651948355.

The square root of 55384915600 is 235340.

It is a perfect power (a square), and thus also a powerful number.

55384915600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 43362231696 + 12022683904 = 208236^2 + 109648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1350851580 + ... + 1350851620.

Almost surely, 2^55384915600 is an apocalyptic number.

55384915600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55384915600 is the 235340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55384915600

55384915600 is an abundant number, since it is smaller than the sum of its proper divisors (103271461085).

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

55384915600 is an frugal number, since it uses more digits than its factorization.

55384915600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 55384915600 in words is "fifty-five billion, three hundred eighty-four million, nine hundred fifteen thousand, six hundred".