10940287680 has 672 divisors, whose sum is σ = 45266457600. Its totient is φ = 2463436800.

The previous prime is 10940287669. The next prime is 10940287681. The reversal of 10940287680 is 8678204901.

10940287680 is a `hidden beast` number, since 109 + 402 + 87 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10940287681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54976221 + ... + 54976419.

It is an arithmetic number, because the mean of its divisors is an integer number (67360800).

Almost surely, 2^10940287680 is an apocalyptic number.

10940287680 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 10940287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22633228800).

10940287680 is an abundant number, since it is smaller than the sum of its proper divisors (34326169920).

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

10940287680 is a wasteful number, since it uses less digits than its factorization.

10940287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10940287680 in words is "ten billion, nine hundred forty million, two hundred eighty-seven thousand, six hundred eighty".