66888041220 has 1536 divisors, whose sum is σ = 307257753600. Its totient is φ = 11612160000.

The previous prime is 66888041173. The next prime is 66888041243. The reversal of 66888041220 is 2214088866.

66888041220 is a `hidden beast` number, since 66 + 88 + 80 + 412 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 266486095 + ... + 266486345.

It is an arithmetic number, because the mean of its divisors is an integer number (200037600).

Almost surely, 2^66888041220 is an apocalyptic number.

66888041220 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 66888041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153628876800).

66888041220 is an abundant number, since it is smaller than the sum of its proper divisors (240369712380).

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

66888041220 is a wasteful number, since it uses less digits than its factorization.

66888041220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 66888041220 in words is "sixty-six billion, eight hundred eighty-eight million, forty-one thousand, two hundred twenty".