10733335805952 has 340 divisors, whose sum is σ = 32121634981216. Its totient is φ = 3571714621440.

The previous prime is 10733335805923. The next prime is 10733335805953. The reversal of 10733335805952 is 25950853333701.

It is a happy number.

10733335805952 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 3 + 3 + 3 + 580 + 5 + 9 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10733335805953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4018469577 + ... + 4018472247.

Almost surely, 2^{10733335805952} is an apocalyptic number.

10733335805952 is a gapful number since it is divisible by the number (12) 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 10733335805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060817490608).

10733335805952 is an abundant number, since it is smaller than the sum of its proper divisors (21388299175264).

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

10733335805952 is an frugal number, since it uses more digits than its factorization.

10733335805952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 10733335805952 in words is "ten trillion, seven hundred thirty-three billion, three hundred thirty-five million, eight hundred five thousand, nine hundred fifty-two".