10006450686400 has 336 divisors, whose sum is σ = 28277779034880. Its totient is φ = 3413976883200.

The previous prime is 10006450686367. The next prime is 10006450686413. The reversal of 10006450686400 is 468605460001.

It is a happy number.

It is a super-2 number, since 2×10006450686400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2029291935 + ... + 2029296865.

Almost surely, 2^{10006450686400} is an apocalyptic number.

10006450686400 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 10006450686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138889517440).

10006450686400 is an abundant number, since it is smaller than the sum of its proper divisors (18271328348480).

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

10006450686400 is a wasteful number, since it uses less digits than its factorization.

10006450686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 10006450686400 in words is "ten trillion, six billion, four hundred fifty million, six hundred eighty-six thousand, four hundred".