10836210585600 has 1053 divisors, whose sum is σ = 40623585972177. Its totient is φ = 2866902958080.

The previous prime is 10836210585593. The next prime is 10836210585631. The reversal of 10836210585600 is 658501263801.

The square root of 10836210585600 is 3291840.

It is a perfect power (a square), and thus also a powerful number.

10836210585600 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 6 + 2 + 1 + 0 + 585 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3901035810816 + 6935174774784 = 1975104^2 + 2633472^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 85324492737 + ... + 85324492863.

Almost surely, 2^{10836210585600} is an apocalyptic number.

10836210585600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10836210585600 is the 3291840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10836210585600

10836210585600 is an abundant number, since it is smaller than the sum of its proper divisors (29787375386577).

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

10836210585600 is an frugal number, since it uses more digits than its factorization.

10836210585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

It can be divided in two parts, 10836210 and 585600, that added together give a triangular number (11421810 = T₄₇₇₉).

The spelling of 10836210585600 in words is "ten trillion, eight hundred thirty-six billion, two hundred ten million, five hundred eighty-five thousand, six hundred".