10747380023200 has 144 divisors (see below), whose sum is σ = 26501844320280. Its totient is φ = 4255580160000.

The previous prime is 10747380023189. The next prime is 10747380023227. The reversal of 10747380023200 is 232008374701.

It can be written as a sum of positive squares in 12 ways, for example, as 2212965660816 + 8534414362384 = 1487604^2 + 2921372^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10747380023200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605102320 + ... + 605120080.

Almost surely, 2^{10747380023200} is an apocalyptic number.

10747380023200 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 10747380023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250922160140).

10747380023200 is an abundant number, since it is smaller than the sum of its proper divisors (15754464297080).

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

10747380023200 is a wasteful number, since it uses less digits than its factorization.

10747380023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25371 (or 25358 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

Adding to 10747380023200 its reverse (232008374701), we get a palindrome (10979388397901).

The spelling of 10747380023200 in words is "ten trillion, seven hundred forty-seven billion, three hundred eighty million, twenty-three thousand, two hundred".