5655781756800 has 2304 divisors, whose sum is σ = 25199308569600. Its totient is φ = 1212608102400.

The previous prime is 5655781756759. The next prime is 5655781756813. The reversal of 5655781756800 is 86571875565.

5655781756800 is a `hidden beast` number, since 5 + 6 + 5 + 57 + 8 + 17 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21504873469 + ... + 21504873731.

It is an arithmetic number, because the mean of its divisors is an integer number (10937199900).

Almost surely, 2^{5655781756800} is an apocalyptic number.

5655781756800 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 5655781756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599654284800).

5655781756800 is an abundant number, since it is smaller than the sum of its proper divisors (19543526812800).

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

5655781756800 is a wasteful number, since it uses less digits than its factorization.

5655781756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 63.

The spelling of 5655781756800 in words is "five trillion, six hundred fifty-five billion, seven hundred eighty-one million, seven hundred fifty-six thousand, eight hundred".