10006087297600 has 189 divisors, whose sum is σ = 25451059054473. Its totient is φ = 3871805760000.

The previous prime is 10006087297571. The next prime is 10006087297601. The reversal of 10006087297600 is 679278060001.

It is a happy number.

The square root of 10006087297600 is 3163240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3602191427136 + 6403895870464 = 1897944^2 + 2530592^2 .

It is not an unprimeable number, because it can be changed into a prime (10006087297601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3922416325 + ... + 3922418875.

Almost surely, 2^{10006087297600} is an apocalyptic number.

10006087297600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10006087297600 is the 3163240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006087297600

10006087297600 is an abundant number, since it is smaller than the sum of its proper divisors (15444971756873).

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

10006087297600 is an frugal number, since it uses more digits than its factorization.

10006087297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 10006087297600 in words is "ten trillion, six billion, eighty-seven million, two hundred ninety-seven thousand, six hundred".