10061397934080 has 960 divisors, whose sum is σ = 34264740249600. Its totient is φ = 2517463203840.

The previous prime is 10061397934069. The next prime is 10061397934157. The reversal of 10061397934080 is 8043979316001.

It is a tau number, because it is divible by the number of its divisors (960).

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 63 ways as a sum of consecutive naturals, for example, 43936235406 + ... + 43936235634.

It is an arithmetic number, because the mean of its divisors is an integer number (35692437760).

Almost surely, 2^{10061397934080} is an apocalyptic number.

10061397934080 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 10061397934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17132370124800).

10061397934080 is an abundant number, since it is smaller than the sum of its proper divisors (24203342315520).

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

10061397934080 is an equidigital number, since it uses as much as digits as its factorization.

10061397934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 10061397934080 in words is "ten trillion, sixty-one billion, three hundred ninety-seven million, nine hundred thirty-four thousand, eighty".