10780903969920 has 768 divisors, whose sum is σ = 45128506924800. Its totient is φ = 2315148853248.

The previous prime is 10780903969909. The next prime is 10780903969933. The reversal of 10780903969920 is 2996930908701.

It is a happy number.

10780903969920 is a `hidden beast` number, since 1 + 0 + 78 + 0 + 90 + 396 + 9 + 92 + 0 = 666.

10780903969920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395485251 + ... + 395512509.

It is an arithmetic number, because the mean of its divisors is an integer number (58761076725).

Almost surely, 2^{10780903969920} is an apocalyptic number.

10780903969920 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 10780903969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22564253462400).

10780903969920 is an abundant number, since it is smaller than the sum of its proper divisors (34347602954880).

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

10780903969920 is a wasteful number, since it uses less digits than its factorization.

10780903969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27885 (or 27870 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 10780903969920 in words is "ten trillion, seven hundred eighty billion, nine hundred three million, nine hundred sixty-nine thousand, nine hundred twenty".