10930436066640 has 80 divisors (see below), whose sum is σ = 33885602182656. Its totient is φ = 2914675392000.

The previous prime is 10930436066617. The next prime is 10930436066833. The reversal of 10930436066640 is 4666063403901.

It is a Cunningham number, because it is equal to 3306121²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10930436066640.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5785710 + ... + 7438770.

Almost surely, 2^{10930436066640} is an apocalyptic number.

10930436066640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10930436066640 is an abundant number, since it is smaller than the sum of its proper divisors (22955166116016).

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

10930436066640 is a wasteful number, since it uses less digits than its factorization.

10930436066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680628 (or 1680622 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 10930436066640 in words is "ten trillion, nine hundred thirty billion, four hundred thirty-six million, sixty-six thousand, six hundred forty".