10835323836480 has 3360 divisors, whose sum is σ = 48949436954880. Its totient is φ = 2253223526400.

The previous prime is 10835323836479. The next prime is 10835323836539. The reversal of 10835323836480 is 8463832353801.

It is a happy number.

10835323836480 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 532 + 38 + 36 + 48 + 0 = 666.

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

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 479 ways as a sum of consecutive naturals, for example, 55001643742 + ... + 55001643938.

It is an arithmetic number, because the mean of its divisors is an integer number (14568284808).

Almost surely, 2^{10835323836480} is an apocalyptic number.

10835323836480 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 10835323836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24474718477440).

10835323836480 is an abundant number, since it is smaller than the sum of its proper divisors (38114113118400).

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

10835323836480 is a wasteful number, since it uses less digits than its factorization.

10835323836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 10835323836480 in words is "ten trillion, eight hundred thirty-five billion, three hundred twenty-three million, eight hundred thirty-six thousand, four hundred eighty".