10733149393920 has 1056 divisors, whose sum is σ = 40369644881280. Its totient is φ = 2627878256640.

The previous prime is 10733149393909. The next prime is 10733149393921. The reversal of 10733149393920 is 2939394133701.

10733149393920 is a `hidden beast` number, since 1 + 0 + 73 + 31 + 493 + 9 + 39 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10733149393921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5157687280 + ... + 5157689360.

It is an arithmetic number, because the mean of its divisors is an integer number (38228830380).

Almost surely, 2^{10733149393920} is an apocalyptic number.

10733149393920 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 10733149393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184822440640).

10733149393920 is an abundant number, since it is smaller than the sum of its proper divisors (29636495487360).

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

10733149393920 is a wasteful number, since it uses less digits than its factorization.

10733149393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 10733149393920 in words is "ten trillion, seven hundred thirty-three billion, one hundred forty-nine million, three hundred ninety-three thousand, nine hundred twenty".