10199616896 has 128 divisors (see below), whose sum is σ = 23910888960. Its totient is φ = 4243599360.

The previous prime is 10199616887. The next prime is 10199616907. The reversal of 10199616896 is 69861699101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4261076 + ... + 4263468.

It is an arithmetic number, because the mean of its divisors is an integer number (186803820).

Almost surely, 2^10199616896 is an apocalyptic number.

10199616896 is a gapful number since it is divisible by the number (16) 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 10199616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955444480).

10199616896 is an abundant number, since it is smaller than the sum of its proper divisors (13711272064).

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

10199616896 is an equidigital number, since it uses as much as digits as its factorization.

10199616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 56.

The spelling of 10199616896 in words is "ten billion, one hundred ninety-nine million, six hundred sixteen thousand, eight hundred ninety-six".