10802623409280 has 384 divisors, whose sum is σ = 40771203033600. Its totient is φ = 2623786352640.

The previous prime is 10802623409269. The next prime is 10802623409287. The reversal of 10802623409280 is 8290432620801.

10802623409280 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 26 + 2 + 340 + 9 + 280 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (10802623409287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256151 + ... + 4814889.

It is an arithmetic number, because the mean of its divisors is an integer number (106175007900).

Almost surely, 2^{10802623409280} is an apocalyptic number.

10802623409280 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 10802623409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20385601516800).

10802623409280 is an abundant number, since it is smaller than the sum of its proper divisors (29968579624320).

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

10802623409280 is a wasteful number, since it uses less digits than its factorization.

10802623409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558812 (or 3558797 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10802623409280 in words is "ten trillion, eight hundred two billion, six hundred twenty-three million, four hundred nine thousand, two hundred eighty".