55648786636800 has 1512 divisors, whose sum is σ = 244090162999800. Its totient is φ = 12049891983360.

The previous prime is 55648786636783. The next prime is 55648786636829. The reversal of 55648786636800 is 863668784655.

55648786636800 is a `hidden beast` number, since 5 + 5 + 6 + 487 + 8 + 6 + 63 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×55648786636800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1716002986 + ... + 1716035414.

Almost surely, 2^{55648786636800} is an apocalyptic number.

55648786636800 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 55648786636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122045081499900).

55648786636800 is an abundant number, since it is smaller than the sum of its proper divisors (188441376363000).

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

55648786636800 is a wasteful number, since it uses less digits than its factorization.

55648786636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32504 (or 32465 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 55648786636800 in words is "fifty-five trillion, six hundred forty-eight billion, seven hundred eighty-six million, six hundred thirty-six thousand, eight hundred".