1066161510656 has 144 divisors (see below), whose sum is σ = 2371946293248. Its totient is φ = 474211584000.

The previous prime is 1066161510649. The next prime is 1066161510731. The reversal of 1066161510656 is 6560151616601.

It is a super-2 number, since 2×1066161510656² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 28470761 + ... + 28508183.

Almost surely, 2^{1066161510656} is an apocalyptic number.

1066161510656 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 1066161510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185973146624).

1066161510656 is an abundant number, since it is smaller than the sum of its proper divisors (1305784782592).

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

1066161510656 is a wasteful number, since it uses less digits than its factorization.

1066161510656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37668 (or 37654 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 1066161510656 in words is "one trillion, sixty-six billion, one hundred sixty-one million, five hundred ten thousand, six hundred fifty-six".