10006733805120 has 560 divisors, whose sum is σ = 38351532542400. Its totient is φ = 2462059597824.

The previous prime is 10006733805053. The next prime is 10006733805191. The reversal of 10006733805120 is 2150833760001.

10006733805120 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 67 + 3 + 3 + 80 + 512 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 909449539 + ... + 909460541.

It is an arithmetic number, because the mean of its divisors is an integer number (68484879540).

Almost surely, 2^{10006733805120} is an apocalyptic number.

10006733805120 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 10006733805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19175766271200).

10006733805120 is an abundant number, since it is smaller than the sum of its proper divisors (28344798737280).

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

10006733805120 is a wasteful number, since it uses less digits than its factorization.

10006733805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10006733805120 in words is "ten trillion, six billion, seven hundred thirty-three million, eight hundred five thousand, one hundred twenty".