66871140885920 has 384 divisors, whose sum is σ = 184215594511872. Its totient is φ = 22467929702400.

The previous prime is 66871140885893. The next prime is 66871140885949. The reversal of 66871140885920 is 2958804117866.

66871140885920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66871140885920² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

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, 4592475440 + ... + 4592490000.

It is an arithmetic number, because the mean of its divisors is an integer number (479728110708).

Almost surely, 2^{66871140885920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66871140885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92107797255936).

66871140885920 is an abundant number, since it is smaller than the sum of its proper divisors (117344453625952).

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

66871140885920 is a wasteful number, since it uses less digits than its factorization.

66871140885920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15104 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 65.

The spelling of 66871140885920 in words is "sixty-six trillion, eight hundred seventy-one billion, one hundred forty million, eight hundred eighty-five thousand, nine hundred twenty".