55666590336000 has 5280 divisors, whose sum is σ = 260768043993600. Its totient is φ = 11738500300800.

The previous prime is 55666590335959. The next prime is 55666590336001. The reversal of 55666590336000 is 63309566655.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55666590336001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 704640383961 + ... + 704640384039.

It is an arithmetic number, because the mean of its divisors is an integer number (49387887120).

Almost surely, 2^{55666590336000} is an apocalyptic number.

55666590336000 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 55666590336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130384021996800).

55666590336000 is an abundant number, since it is smaller than the sum of its proper divisors (205101453657600).

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

55666590336000 is a wasteful number, since it uses less digits than its factorization.

55666590336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 54.

The spelling of 55666590336000 in words is "fifty-five trillion, six hundred sixty-six billion, five hundred ninety million, three hundred thirty-six thousand".