66956885160 has 256 divisors, whose sum is σ = 234240491520. Its totient is φ = 15147264000.

The previous prime is 66956885147. The next prime is 66956885179. The reversal of 66956885160 is 6158865966.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 66956885094 and 66956885103.

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, 1217865 + ... + 1271655.

It is an arithmetic number, because the mean of its divisors is an integer number (915001920).

Almost surely, 2^66956885160 is an apocalyptic number.

66956885160 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 66956885160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117120245760).

66956885160 is an abundant number, since it is smaller than the sum of its proper divisors (167283606360).

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

66956885160 is a wasteful number, since it uses less digits than its factorization.

66956885160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53880 (or 53876 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 66956885160 in words is "sixty-six billion, nine hundred fifty-six million, eight hundred eighty-five thousand, one hundred sixty".