5668421585400 has 1344 divisors, whose sum is σ = 23250135110400. Its totient is φ = 1257718855680.

The previous prime is 5668421585383. The next prime is 5668421585419. The reversal of 5668421585400 is 45851248665.

5668421585400 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 42 + 1 + 58 + 540 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 9962076316 + ... + 9962076884.

Almost surely, 2^{5668421585400} is an apocalyptic number.

5668421585400 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 5668421585400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11625067555200).

5668421585400 is an abundant number, since it is smaller than the sum of its proper divisors (17581713525000).

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

5668421585400 is a wasteful number, since it uses less digits than its factorization.

5668421585400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 5668421585400 in words is "five trillion, six hundred sixty-eight billion, four hundred twenty-one million, five hundred eighty-five thousand, four hundred".