55686430800 has 2400 divisors, whose sum is σ = 286933135104. Its totient is φ = 9953280000.

The previous prime is 55686430741. The next prime is 55686430829. The reversal of 55686430800 is 803468655.

55686430800 is a `hidden beast` number, since 5 + 568 + 6 + 4 + 3 + 0 + 80 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 551350750 + ... + 551350850.

Almost surely, 2^55686430800 is an apocalyptic number.

55686430800 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 55686430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143466567552).

55686430800 is an abundant number, since it is smaller than the sum of its proper divisors (231246704304).

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

55686430800 is a wasteful number, since it uses less digits than its factorization.

55686430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55686430800 in words is "fifty-five billion, six hundred eighty-six million, four hundred thirty thousand, eight hundred".