1966253705280 has 672 divisors, whose sum is σ = 7407367618560. Its totient is φ = 476876574720.

The previous prime is 1966253705243. The next prime is 1966253705323. The reversal of 1966253705280 is 825073526691.

1966253705280 is a `hidden beast` number, since 1 + 9 + 6 + 62 + 53 + 7 + 0 + 528 + 0 = 666.

It is a super-3 number, since 3×1966253705280³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215428077 + ... + 215437203.

It is an arithmetic number, because the mean of its divisors is an integer number (11022868480).

Almost surely, 2^{1966253705280} is an apocalyptic number.

1966253705280 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 1966253705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703683809280).

1966253705280 is an abundant number, since it is smaller than the sum of its proper divisors (5441113913280).

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

1966253705280 is a wasteful number, since it uses less digits than its factorization.

1966253705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1966253705280 in words is "one trillion, nine hundred sixty-six billion, two hundred fifty-three million, seven hundred five thousand, two hundred eighty".