10800357795360 has 2160 divisors, whose sum is σ = 46770922110528. Its totient is φ = 2298632878080.

The previous prime is 10800357795313. The next prime is 10800357795371. The reversal of 10800357795360 is 6359775300801.

10800357795360 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 3 + 577 + 9 + 5 + 3 + 60 = 666.

10800357795360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10800357795297 and 10800357795306.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 161199370047 + ... + 161199370113.

Almost surely, 2^{10800357795360} is an apocalyptic number.

10800357795360 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 10800357795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23385461055264).

10800357795360 is an abundant number, since it is smaller than the sum of its proper divisors (35970564315168).

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

10800357795360 is an equidigital number, since it uses as much as digits as its factorization.

10800357795360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 10800357795360 in words is "ten trillion, eight hundred billion, three hundred fifty-seven million, seven hundred ninety-five thousand, three hundred sixty".