66541296000 has 512 divisors, whose sum is σ = 228633799680. Its totient is φ = 17108582400.

The previous prime is 66541295993. The next prime is 66541296001. The reversal of 66541296000 is 69214566.

It is a self number, because there is not a number n which added to its sum of digits gives 66541296000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66541296001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 212591844 + ... + 212592156.

It is an arithmetic number, because the mean of its divisors is an integer number (446550390).

Almost surely, 2^66541296000 is an apocalyptic number.

66541296000 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 66541296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114316899840).

66541296000 is an abundant number, since it is smaller than the sum of its proper divisors (162092503680).

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

66541296000 is a wasteful number, since it uses less digits than its factorization.

66541296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 66541296000 in words is "sixty-six billion, five hundred forty-one million, two hundred ninety-six thousand".