1965777660000 has 3360 divisors, whose sum is σ = 9664709902848. Its totient is φ = 380712960000.

The previous prime is 1965777659977. The next prime is 1965777660023. The reversal of 1965777660000 is 667775691.

It is a happy number.

1965777660000 is a `hidden beast` number, since 1 + 9 + 6 + 577 + 7 + 6 + 60 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1965777659977) and next prime (1965777660023).

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

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 559 ways as a sum of consecutive naturals, for example, 19085219949 + ... + 19085220051.

Almost surely, 2^{1965777660000} is an apocalyptic number.

1965777660000 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 1965777660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832354951424).

1965777660000 is an abundant number, since it is smaller than the sum of its proper divisors (7698932242848).

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

1965777660000 is a wasteful number, since it uses less digits than its factorization.

1965777660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 1965777660000 in words is "one trillion, nine hundred sixty-five billion, seven hundred seventy-seven million, six hundred sixty thousand".