10056215840160 has 384 divisors, whose sum is σ = 37380936499200. Its totient is φ = 2223777116160.

The previous prime is 10056215840147. The next prime is 10056215840161. The reversal of 10056215840160 is 6104851265001.

It is a super-2 number, since 2×10056215840160² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056215840161) 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, 424856806 + ... + 424880474.

It is an arithmetic number, because the mean of its divisors is an integer number (97346188800).

Almost surely, 2^{10056215840160} is an apocalyptic number.

10056215840160 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 10056215840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18690468249600).

10056215840160 is an abundant number, since it is smaller than the sum of its proper divisors (27324720659040).

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

10056215840160 is a wasteful number, since it uses less digits than its factorization.

10056215840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27804 (or 27796 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 10056215840160 in words is "ten trillion, fifty-six billion, two hundred fifteen million, eight hundred forty thousand, one hundred sixty".