10006043375520 has 288 divisors, whose sum is σ = 34407267568128. Its totient is φ = 2647846416384.

The previous prime is 10006043375501. The next prime is 10006043375521. The reversal of 10006043375520 is 2557334060001.

10006043375520 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 60 + 4 + 3 + 3 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (10006043375521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672125517 + ... + 672140403.

It is an arithmetic number, because the mean of its divisors is an integer number (119469679056).

Almost surely, 2^{10006043375520} is an apocalyptic number.

10006043375520 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 10006043375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203633784064).

10006043375520 is an abundant number, since it is smaller than the sum of its proper divisors (24401224192608).

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

10006043375520 is a wasteful number, since it uses less digits than its factorization.

10006043375520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18452 (or 18441 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 10006043375520 in words is "ten trillion, six billion, forty-three million, three hundred seventy-five thousand, five hundred twenty".