1966091318730 has 320 divisors, whose sum is σ = 6818372225280. Its totient is φ = 394450560000.

The previous prime is 1966091318729. The next prime is 1966091318731. The reversal of 1966091318730 is 378131906691.

It is a happy number.

1966091318730 is a `hidden beast` number, since 1 + 9 + 6 + 609 + 13 + 18 + 7 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1966091318729) and next prime (1966091318731).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1966091318731) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1265230 + ... + 2352230.

It is an arithmetic number, because the mean of its divisors is an integer number (21307413204).

Almost surely, 2^{1966091318730} is an apocalyptic number.

1966091318730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966091318730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409186112640).

1966091318730 is an abundant number, since it is smaller than the sum of its proper divisors (4852280906550).

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

1966091318730 is a wasteful number, since it uses less digits than its factorization.

1966091318730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087067 (or 1087058 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1966091318730 in words is "one trillion, nine hundred sixty-six billion, ninety-one million, three hundred eighteen thousand, seven hundred thirty".