10391006841600 has 648 divisors, whose sum is σ = 43078233372160. Its totient is φ = 2159166873600.

The previous prime is 10391006841599. The next prime is 10391006841617. The reversal of 10391006841600 is 614860019301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15942921 + ... + 16581879.

Almost surely, 2^{10391006841600} is an apocalyptic number.

10391006841600 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 10391006841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21539116686080).

10391006841600 is an abundant number, since it is smaller than the sum of its proper divisors (32687226530560).

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

10391006841600 is a wasteful number, since it uses less digits than its factorization.

10391006841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639017 (or 638987 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 10391006841600 in words is "ten trillion, three hundred ninety-one billion, six million, eight hundred forty-one thousand, six hundred".