10859006782800 has 480 divisors, whose sum is σ = 42182764416000. Its totient is φ = 2631293683200.

The previous prime is 10859006782787. The next prime is 10859006782889. The reversal of 10859006782800 is 828760095801.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277853661 + ... + 277892739.

It is an arithmetic number, because the mean of its divisors is an integer number (87880759200).

Almost surely, 2^{10859006782800} is an apocalyptic number.

10859006782800 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 10859006782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21091382208000).

10859006782800 is an abundant number, since it is smaller than the sum of its proper divisors (31323757633200).

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

10859006782800 is a wasteful number, since it uses less digits than its factorization.

10859006782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41456 (or 41439 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10859006782800 in words is "ten trillion, eight hundred fifty-nine billion, six million, seven hundred eighty-two thousand, eight hundred".