66054845145000 has 640 divisors, whose sum is σ = 214559404012800. Its totient is φ = 16926879744000.

The previous prime is 66054845144971. The next prime is 66054845145001. The reversal of 66054845145000 is 54154845066.

It is not an unprimeable number, because it can be changed into a prime (66054845145001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35154254061 + ... + 35154255939.

It is an arithmetic number, because the mean of its divisors is an integer number (335249068770).

Almost surely, 2^{66054845145000} is an apocalyptic number.

66054845145000 is a gapful number since it is divisible by the number (60) 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 66054845145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107279702006400).

66054845145000 is an abundant number, since it is smaller than the sum of its proper divisors (148504558867800).

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

66054845145000 is a wasteful number, since it uses less digits than its factorization.

66054845145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 66054845145000 in words is "sixty-six trillion, fifty-four billion, eight hundred forty-five million, one hundred forty-five thousand".