10316679690240 has 2304 divisors, whose sum is σ = 48040899379200. Its totient is φ = 1983401164800.

The previous prime is 10316679690223. The next prime is 10316679690307. The reversal of 10316679690240 is 4209697661301.

10316679690240 is a `hidden beast` number, since 10 + 316 + 6 + 79 + 6 + 9 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5059675141 + ... + 5059677179.

It is an arithmetic number, because the mean of its divisors is an integer number (20851084800).

Almost surely, 2^{10316679690240} is an apocalyptic number.

10316679690240 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 10316679690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24020449689600).

10316679690240 is an abundant number, since it is smaller than the sum of its proper divisors (37724219688960).

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

10316679690240 is a wasteful number, since it uses less digits than its factorization.

10316679690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 10316679690240 in words is "ten trillion, three hundred sixteen billion, six hundred seventy-nine million, six hundred ninety thousand, two hundred forty".