55690185600 has 1728 divisors, whose sum is σ = 254922969600. Its totient is φ = 11496038400.

The previous prime is 55690185599. The next prime is 55690185679. The reversal of 55690185600 is 658109655.

It is a happy number.

55690185600 is a `hidden beast` number, since 5 + 569 + 0 + 1 + 85 + 6 + 0 + 0 = 666.

55690185600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 831196767 + ... + 831196833.

Almost surely, 2^55690185600 is an apocalyptic number.

55690185600 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 55690185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127461484800).

55690185600 is an abundant number, since it is smaller than the sum of its proper divisors (199232784000).

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

55690185600 is a wasteful number, since it uses less digits than its factorization.

55690185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 55690185600 in words is "fifty-five billion, six hundred ninety million, one hundred eighty-five thousand, six hundred".