55206381585600 has 504 divisors, whose sum is σ = 229462520601600. Its totient is φ = 12325144688640.

The previous prime is 55206381585583. The next prime is 55206381585629. The reversal of 55206381585600 is 658518360255.

55206381585600 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 63 + 8 + 15 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2034000 + ... + 10702799.

Almost surely, 2^{55206381585600} is an apocalyptic number.

55206381585600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55206381585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114731260300800).

55206381585600 is an abundant number, since it is smaller than the sum of its proper divisors (174256139016000).

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

55206381585600 is a wasteful number, since it uses less digits than its factorization.

55206381585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12736877 (or 12736859 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 55206381585600 in words is "fifty-five trillion, two hundred six billion, three hundred eighty-one million, five hundred eighty-five thousand, six hundred".