66102404748600 has 96 divisors (see below), whose sum is σ = 223546314263040. Its totient is φ = 16024825392000.

The previous prime is 66102404748593. The next prime is 66102404748607. The reversal of 66102404748600 is 684740420166.

66102404748600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66102404748593) and next prime (66102404748607).

It is a self number, because there is not a number n which added to its sum of digits gives 66102404748600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66102404748607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5007751336 + ... + 5007764535.

It is an arithmetic number, because the mean of its divisors is an integer number (2328607440240).

Almost surely, 2^{66102404748600} is an apocalyptic number.

66102404748600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66102404748600 is an abundant number, since it is smaller than the sum of its proper divisors (157443909514440).

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

66102404748600 is a wasteful number, since it uses less digits than its factorization.

66102404748600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015515901 (or 10015515892 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 66102404748600 in words is "sixty-six trillion, one hundred two billion, four hundred four million, seven hundred forty-eight thousand, six hundred".