66358852166880 has 1728 divisors, whose sum is σ = 301037391502848. Its totient is φ = 13675164733440.

The previous prime is 66358852166879. The next prime is 66358852166909. The reversal of 66358852166880 is 8866125885366.

It is a happy number.

66358852166880 is a `hidden beast` number, since 6 + 6 + 35 + 8 + 8 + 521 + 6 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66358852166799 and 66358852166808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1064930925 + ... + 1064993235.

It is an arithmetic number, because the mean of its divisors is an integer number (174211453416).

Almost surely, 2^{66358852166880} is an apocalyptic number.

66358852166880 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 66358852166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150518695751424).

66358852166880 is an abundant number, since it is smaller than the sum of its proper divisors (234678539335968).

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

66358852166880 is a wasteful number, since it uses less digits than its factorization.

66358852166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62411 (or 62384 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 66358852166880 in words is "sixty-six trillion, three hundred fifty-eight billion, eight hundred fifty-two million, one hundred sixty-six thousand, eight hundred eighty".