1966277256480 has 144 divisors (see below), whose sum is σ = 6717524486400. Its totient is φ = 523746445824.

The previous prime is 1966277256473. The next prime is 1966277256491. The reversal of 1966277256480 is 846527726691.

1966277256480 is a `hidden beast` number, since 1 + 9 + 6 + 62 + 7 + 7 + 2 + 564 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 498321 + ... + 2044719.

It is an arithmetic number, because the mean of its divisors is an integer number (46649475600).

Almost surely, 2^{1966277256480} is an apocalyptic number.

1966277256480 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 1966277256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358762243200).

1966277256480 is an abundant number, since it is smaller than the sum of its proper divisors (4751247229920).

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

1966277256480 is a wasteful number, since it uses less digits than its factorization.

1966277256480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547303 (or 1547292 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1966277256480 in words is "one trillion, nine hundred sixty-six billion, two hundred seventy-seven million, two hundred fifty-six thousand, four hundred eighty".