55803318681600 has 2880 divisors, whose sum is σ = 244956655104000. Its totient is φ = 12443776450560.

The previous prime is 55803318681581. The next prime is 55803318681611. The reversal of 55803318681600 is 618681330855.

55803318681600 is a `hidden beast` number, since 5 + 580 + 33 + 18 + 6 + 8 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×55803318681600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178285363044 + ... + 178285363356.

Almost surely, 2^{55803318681600} is an apocalyptic number.

55803318681600 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 55803318681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122478327552000).

55803318681600 is an abundant number, since it is smaller than the sum of its proper divisors (189153336422400).

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

55803318681600 is an equidigital number, since it uses as much as digits as its factorization.

55803318681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 55803318681600 in words is "fifty-five trillion, eight hundred three billion, three hundred eighteen million, six hundred eighty-one thousand, six hundred".