10468778910720 has 1056 divisors, whose sum is σ = 39348624338688. Its totient is φ = 2359314874368.

The previous prime is 10468778910691. The next prime is 10468778910731. The reversal of 10468778910720 is 2701987786401.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2135175789 + ... + 2135180691.

Almost surely, 2^{10468778910720} is an apocalyptic number.

10468778910720 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 10468778910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19674312169344).

10468778910720 is an abundant number, since it is smaller than the sum of its proper divisors (28879845427968).

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

10468778910720 is a wasteful number, since it uses less digits than its factorization.

10468778910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 60.

The spelling of 10468778910720 in words is "ten trillion, four hundred sixty-eight billion, seven hundred seventy-eight million, nine hundred ten thousand, seven hundred twenty".