1966135876620 has 24 divisors (see below), whose sum is σ = 5505180454704. Its totient is φ = 524302900416.

The previous prime is 1966135876487. The next prime is 1966135876699. The reversal of 1966135876620 is 266785316691.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 32768931277 = 1966135876620 / (1 + 9 + 6 + 6 + 1 + 3 + 5 + 8 + 7 + 6 + 6 + 2 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16384465579 + ... + 16384465698.

It is an arithmetic number, because the mean of its divisors is an integer number (229382518946).

Almost surely, 2^{1966135876620} is an apocalyptic number.

1966135876620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1966135876620 is an abundant number, since it is smaller than the sum of its proper divisors (3539044578084).

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

1966135876620 is a wasteful number, since it uses less digits than its factorization.

1966135876620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32768931289 (or 32768931287 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1966135876620 in words is "one trillion, nine hundred sixty-six billion, one hundred thirty-five million, eight hundred seventy-six thousand, six hundred twenty".