10099640173680 has 360 divisors, whose sum is σ = 36073203854688. Its totient is φ = 2527522043904.

The previous prime is 10099640173643. The next prime is 10099640173681. The reversal of 10099640173680 is 8637104699001.

10099640173680 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 96 + 401 + 73 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099640173681) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 46408482 + ... + 46625598.

Almost surely, 2^{10099640173680} is an apocalyptic number.

10099640173680 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 10099640173680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036601927344).

10099640173680 is an abundant number, since it is smaller than the sum of its proper divisors (25973563681008).

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

10099640173680 is a wasteful number, since it uses less digits than its factorization.

10099640173680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217265 (or 217203 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10099640173680 in words is "ten trillion, ninety-nine billion, six hundred forty million, one hundred seventy-three thousand, six hundred eighty".