10845086473620 has 648 divisors, whose sum is σ = 39544218834120. Its totient is φ = 2398622284800.

The previous prime is 10845086473583. The next prime is 10845086473751. The reversal of 10845086473620 is 2637468054801.

It is a happy number.

10845086473620 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 5 + 0 + 8 + 6 + 4 + 7 + 3 + 620 = 666.

10845086473620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2401099004304 + 8443987469316 = 1549548^2 + 2905854^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1777588570 + ... + 1777594670.

It is an arithmetic number, because the mean of its divisors is an integer number (61025029065).

Almost surely, 2^{10845086473620} is an apocalyptic number.

10845086473620 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 10845086473620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772109417060).

10845086473620 is an abundant number, since it is smaller than the sum of its proper divisors (28699132360500).

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

10845086473620 is a wasteful number, since it uses less digits than its factorization.

10845086473620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 10845086473620 in words is "ten trillion, eight hundred forty-five billion, eighty-six million, four hundred seventy-three thousand, six hundred twenty".