66000066000000 has 896 divisors, whose sum is σ = 241450990637760. Its totient is φ = 15840000000000.

The previous prime is 66000065999999. The next prime is 66000066000031. The reversal of 66000066000000 is 66000066.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6665995050 + ... + 6666004950.

Almost surely, 2^{66000066000000} is an apocalyptic number.

66000066000000 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 66000066000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120725495318880).

66000066000000 is an abundant number, since it is smaller than the sum of its proper divisors (175450924637760).

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

66000066000000 is an equidigital number, since it uses as much as digits as its factorization.

66000066000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

66000066000000 divided by its reverse (66000066) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 660000 and 66000000, that multiplied together give a square (43560000000000 = 6600000²).

The spelling of 66000066000000 in words is "sixty-six trillion, sixty-six million", and thus it is an aban number, an eban number, and an uban number.