55666420992000 has 4608 divisors, whose sum is σ = 264269101824000. Its totient is φ = 11452376678400.

The previous prime is 55666420991969. The next prime is 55666420992031. The reversal of 55666420992000 is 29902466655.

It is an interprime number because it is at equal distance from previous prime (55666420991969) and next prime (55666420992031).

It is a tau number, because it is divible by the number of its divisors (4608).

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 206938367866 + ... + 206938368134.

It is an arithmetic number, because the mean of its divisors is an integer number (57350065500).

Almost surely, 2^{55666420992000} is an apocalyptic number.

55666420992000 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 55666420992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132134550912000).

55666420992000 is an abundant number, since it is smaller than the sum of its proper divisors (208602680832000).

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

55666420992000 is a wasteful number, since it uses less digits than its factorization.

55666420992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 55666420992000 in words is "fifty-five trillion, six hundred sixty-six billion, four hundred twenty million, nine hundred ninety-two thousand".