1966242397875 has 192 divisors, whose sum is σ = 3942842342400. Its totient is φ = 869803704000.

The previous prime is 1966242397859. The next prime is 1966242397879. The reversal of 1966242397875 is 5787932426691.

It is not a de Polignac number, because 1966242397875 - 2⁴ = 1966242397859 is a prime.

It is a super-2 number, since 2×1966242397875² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1966242397879) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123600672 + ... + 123616578.

It is an arithmetic number, because the mean of its divisors is an integer number (20535637200).

Almost surely, 2^{1966242397875} is an apocalyptic number.

1966242397875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1966242397875 is an abundant number, since it is smaller than the sum of its proper divisors (1976599944525).

1966242397875 is an equidigital number, since it uses as much as digits as its factorization.

1966242397875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16008 (or 15953 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 69.

The spelling of 1966242397875 in words is "one trillion, nine hundred sixty-six billion, two hundred forty-two million, three hundred ninety-seven thousand, eight hundred seventy-five".