10906920840400 has 60 divisors (see below), whose sum is σ = 28219560203212. Its totient is φ = 4027170769920.

The previous prime is 10906920840391. The next prime is 10906920840407. The reversal of 10906920840400 is 404802960901.

It can be written as a sum of positive squares in 6 ways, for example, as 2423588876944 + 8483331963456 = 1556788^2 + 2912616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10906920840407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1048737189 + ... + 1048747588.

Almost surely, 2^{10906920840400} is an apocalyptic number.

10906920840400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10906920840400 is an abundant number, since it is smaller than the sum of its proper divisors (17312639362812).

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

10906920840400 is a wasteful number, since it uses less digits than its factorization.

10906920840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097484808 (or 2097484797 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 10906920840400 in words is "ten trillion, nine hundred six billion, nine hundred twenty million, eight hundred forty thousand, four hundred".