66861185007300 has 144 divisors (see below), whose sum is σ = 200202461639040. Its totient is φ = 17207950556160.

The previous prime is 66861185007299. The next prime is 66861185007301. The reversal of 66861185007300 is 370058116866.

It is an interprime number because it is at equal distance from previous prime (66861185007299) and next prime (66861185007301).

It is not an unprimeable number, because it can be changed into a prime (66861185007301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20240904 + ... + 23311296.

Almost surely, 2^{66861185007300} is an apocalyptic number.

66861185007300 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 66861185007300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100101230819520).

66861185007300 is an abundant number, since it is smaller than the sum of its proper divisors (133341276631740).

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

66861185007300 is a wasteful number, since it uses less digits than its factorization.

66861185007300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072942 (or 3072935 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 66861185007300 in words is "sixty-six trillion, eight hundred sixty-one billion, one hundred eighty-five million, seven thousand, three hundred".