1966290577920 has 800 divisors, whose sum is σ = 7296265152000. Its totient is φ = 505586810880.

The previous prime is 1966290577919. The next prime is 1966290577967. The reversal of 1966290577920 is 297750926691.

1966290577920 is a `hidden beast` number, since 19 + 6 + 6 + 29 + 0 + 577 + 9 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3207651534 + ... + 3207652146.

It is an arithmetic number, because the mean of its divisors is an integer number (9120331440).

Almost surely, 2^{1966290577920} is an apocalyptic number.

1966290577920 is a gapful number since it is divisible by the number (10) 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 1966290577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648132576000).

1966290577920 is an abundant number, since it is smaller than the sum of its proper divisors (5329974574080).

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

1966290577920 is an equidigital number, since it uses as much as digits as its factorization.

1966290577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 1966290577920 in words is "one trillion, nine hundred sixty-six billion, two hundred ninety million, five hundred seventy-seven thousand, nine hundred twenty".