10800709724160 has 576 divisors, whose sum is σ = 38857345712640. Its totient is φ = 2877400350720.

The previous prime is 10800709724153. The next prime is 10800709724171. The reversal of 10800709724160 is 6142790700801.

It is a happy number.

10800709724160 is a `hidden beast` number, since 1 + 0 + 80 + 0 + 70 + 97 + 2 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 4536206170 + ... + 4536208550.

It is an arithmetic number, because the mean of its divisors is an integer number (67460669640).

Almost surely, 2^{10800709724160} is an apocalyptic number.

10800709724160 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 10800709724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19428672856320).

10800709724160 is an abundant number, since it is smaller than the sum of its proper divisors (28056635988480).

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

10800709724160 is an equidigital number, since it uses as much as digits as its factorization.

10800709724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10800709724160 in words is "ten trillion, eight hundred billion, seven hundred nine million, seven hundred twenty-four thousand, one hundred sixty".