10810208718720 has 384 divisors, whose sum is σ = 38052373376160. Its totient is φ = 2826914807808.

The previous prime is 10810208718707. The next prime is 10810208718731. The reversal of 10810208718720 is 2781780201801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10810208718720² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699999319 + ... + 700014761.

Almost surely, 2^{10810208718720} is an apocalyptic number.

10810208718720 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 10810208718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026186688080).

10810208718720 is an abundant number, since it is smaller than the sum of its proper divisors (27242164657440).

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

10810208718720 is a wasteful number, since it uses less digits than its factorization.

10810208718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814 (or 17799 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 45.

The spelling of 10810208718720 in words is "ten trillion, eight hundred ten billion, two hundred eight million, seven hundred eighteen thousand, seven hundred twenty".