10680945425920 has 480 divisors, whose sum is σ = 32714407858176. Its totient is φ = 3307014144000.

The previous prime is 10680945425897. The next prime is 10680945425951. The reversal of 10680945425920 is 2952454908601.

It is a super-2 number, since 2×10680945425920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 208330209 + ... + 208381471.

Almost surely, 2^{10680945425920} is an apocalyptic number.

10680945425920 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 10680945425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357203929088).

10680945425920 is an abundant number, since it is smaller than the sum of its proper divisors (22033462432256).

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

10680945425920 is a wasteful number, since it uses less digits than its factorization.

10680945425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51462 (or 51439 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 10680945425920 in words is "ten trillion, six hundred eighty billion, nine hundred forty-five million, four hundred twenty-five thousand, nine hundred twenty".