1065772821456 has 300 divisors, whose sum is σ = 3498025040640. Its totient is φ = 302893476480.

The previous prime is 1065772821437. The next prime is 1065772821461. The reversal of 1065772821456 is 6541282775601.

It is a happy number.

1065772821456 is a `hidden beast` number, since 1 + 0 + 6 + 577 + 2 + 8 + 2 + 14 + 56 = 666.

It is a super-2 number, since 2×1065772821456² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 66029035 + ... + 66045173.

Almost surely, 2^{1065772821456} is an apocalyptic number.

1065772821456 is a gapful number since it is divisible by the number (16) 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 1065772821456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749012520320).

1065772821456 is an abundant number, since it is smaller than the sum of its proper divisors (2432252219184).

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

1065772821456 is a wasteful number, since it uses less digits than its factorization.

1065772821456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16372 (or 16342 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 1065772821456 in words is "one trillion, sixty-five billion, seven hundred seventy-two million, eight hundred twenty-one thousand, four hundred fifty-six".