12835916730 has 288 divisors, whose sum is σ = 42643860480. Its totient is φ = 2620200960.

The previous prime is 12835916729. The next prime is 12835916771. The reversal of 12835916730 is 3761953821.

12835916730 is a `hidden beast` number, since 1 + 28 + 3 + 591 + 6 + 7 + 30 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3298626 + ... + 3302514.

It is an arithmetic number, because the mean of its divisors is an integer number (148068960).

Almost surely, 2^12835916730 is an apocalyptic number.

12835916730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12835916730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21321930240).

12835916730 is an abundant number, since it is smaller than the sum of its proper divisors (29807943750).

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

12835916730 is a wasteful number, since it uses less digits than its factorization.

12835916730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12835916730 in words is "twelve billion, eight hundred thirty-five million, nine hundred sixteen thousand, seven hundred thirty".