10770122880000 has 3300 divisors, whose sum is σ = 47236592854836. Its totient is φ = 2433024000000.

The previous prime is 10770122879969. The next prime is 10770122880007. The reversal of 10770122880000 is 8822107701.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3722244793344 + 7047878086656 = 1929312^2 + 2654784^2 .

It is a tau number, because it is divible by the number of its divisors (3300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10770122880007) by changing a digit.

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 299 ways as a sum of consecutive naturals, for example, 106634879950 + ... + 106634880050.

Almost surely, 2^{10770122880000} is an apocalyptic number.

10770122880000 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 10770122880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618296427418).

10770122880000 is an abundant number, since it is smaller than the sum of its proper divisors (36466469974836).

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

10770122880000 is a wasteful number, since it uses less digits than its factorization.

10770122880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

Adding to 10770122880000 its reverse (8822107701), we get a palindrome (10778944987701).

The spelling of 10770122880000 in words is "ten trillion, seven hundred seventy billion, one hundred twenty-two million, eight hundred eighty thousand".