10199039610816 has 448 divisors, whose sum is σ = 36147738931200. Its totient is φ = 2754701872128.

The previous prime is 10199039610811. The next prime is 10199039610821. The reversal of 10199039610816 is 61801693099101.

It is a happy number.

10199039610816 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 9 + 0 + 3 + 9 + 610 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (10199039610811) and next prime (10199039610821).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10199039610811) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 107280295 + ... + 107375321.

Almost surely, 2^{10199039610816} is an apocalyptic number.

10199039610816 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 10199039610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073869465600).

10199039610816 is an abundant number, since it is smaller than the sum of its proper divisors (25948699320384).

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

10199039610816 is a wasteful number, since it uses less digits than its factorization.

10199039610816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95541 (or 95525 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 10199039610816 in words is "ten trillion, one hundred ninety-nine billion, thirty-nine million, six hundred ten thousand, eight hundred sixteen".