10830606336 has 416 divisors, whose sum is σ = 36328723200. Its totient is φ = 3158507520.

The previous prime is 10830606331. The next prime is 10830606373. The reversal of 10830606336 is 63360603801.

10830606336 is a `hidden beast` number, since 10 + 8 + 3 + 0 + 6 + 0 + 633 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10830606336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10830606331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35278695 + ... + 35279001.

Almost surely, 2^10830606336 is an apocalyptic number.

10830606336 is a gapful number since it is divisible by the number (16) 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 10830606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164361600).

10830606336 is an abundant number, since it is smaller than the sum of its proper divisors (25498116864).

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

10830606336 is a wasteful number, since it uses less digits than its factorization.

10830606336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10830606336 in words is "ten billion, eight hundred thirty million, six hundred six thousand, three hundred thirty-six".