10199664384 has 216 divisors, whose sum is σ = 34008685200. Its totient is φ = 2689892352.

The previous prime is 10199664359. The next prime is 10199664389. The reversal of 10199664384 is 48346699101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10199664389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478792 + ... + 499640.

Almost surely, 2^10199664384 is an apocalyptic number.

10199664384 is a gapful number since it is divisible by the number (14) 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 10199664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004342600).

10199664384 is an abundant number, since it is smaller than the sum of its proper divisors (23809020816).

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

10199664384 is a wasteful number, since it uses less digits than its factorization.

10199664384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20895 (or 20874 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 10199664384 in words is "ten billion, one hundred ninety-nine million, six hundred sixty-four thousand, three hundred eighty-four".