54001200066 has 64 divisors (see below), whose sum is σ = 120858186240. Its totient is φ = 15944019840.

The previous prime is 54001200059. The next prime is 54001200067. The reversal of 54001200066 is 66000210045.

54001200066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54001200066² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54001200067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137481 + ... + 1184003.

It is an arithmetic number, because the mean of its divisors is an integer number (1888409160).

Almost surely, 2^54001200066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54001200066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60429093120).

54001200066 is an abundant number, since it is smaller than the sum of its proper divisors (66856986174).

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

54001200066 is a wasteful number, since it uses less digits than its factorization.

54001200066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46991.

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 54001200066 in words is "fifty-four billion, one million, two hundred thousand, sixty-six".