56034666968000 has 448 divisors, whose sum is σ = 161903030016000. Its totient is φ = 19203304780800.

The previous prime is 56034666967999. The next prime is 56034666968011. The reversal of 56034666968000 is 86966643065.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10819589411 + ... + 10819594589.

It is an arithmetic number, because the mean of its divisors is an integer number (361390692000).

Almost surely, 2^{56034666968000} is an apocalyptic number.

56034666968000 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 56034666968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80951515008000).

56034666968000 is an abundant number, since it is smaller than the sum of its proper divisors (105868363048000).

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

56034666968000 is an equidigital number, since it uses as much as digits as its factorization.

56034666968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 59.

The spelling of 56034666968000 in words is "fifty-six trillion, thirty-four billion, six hundred sixty-six million, nine hundred sixty-eight thousand".