10777668780096 has 189 divisors, whose sum is σ = 31758322886199. Its totient is φ = 3494514659328.

The previous prime is 10777668780079. The next prime is 10777668780107. The reversal of 10777668780096 is 69008786677701.

The square root of 10777668780096 is 3282936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7720082496 + 10769948697600 = 87864^2 + 3281760^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 26 ways as a sum of consecutive naturals, for example, 2915245320 + ... + 2915249016.

Almost surely, 2^{10777668780096} is an apocalyptic number.

10777668780096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10777668780096 is the 3282936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10777668780096

10777668780096 is an abundant number, since it is smaller than the sum of its proper divisors (20980654106103).

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

10777668780096 is an frugal number, since it uses more digits than its factorization.

10777668780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 10777668780096 in words is "ten trillion, seven hundred seventy-seven billion, six hundred sixty-eight million, seven hundred eighty thousand, ninety-six".