55785024388800 has 1176 divisors, whose sum is σ = 247585520576000. Its totient is φ = 12079731087360.

The previous prime is 55785024388787. The next prime is 55785024388843. The reversal of 55785024388800 is 888342058755.

It is a happy number.

55785024388800 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 502 + 43 + 8 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×55785024388800² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 154951401 + ... + 155310999.

Almost surely, 2^{55785024388800} is an apocalyptic number.

55785024388800 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 55785024388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123792760288000).

55785024388800 is an abundant number, since it is smaller than the sum of its proper divisors (191800496187200).

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

55785024388800 is a wasteful number, since it uses less digits than its factorization.

55785024388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359665 (or 359635 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 55785024388800 in words is "fifty-five trillion, seven hundred eighty-five billion, twenty-four million, three hundred eighty-eight thousand, eight hundred".