10168095006720 has 1120 divisors, whose sum is σ = 42789301841088. Its totient is φ = 2261130412032.

The previous prime is 10168095006689. The next prime is 10168095006739. The reversal of 10168095006720 is 2760059086101.

10168095006720 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 80 + 9 + 500 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 859293924 + ... + 859305756.

Almost surely, 2^{10168095006720} is an apocalyptic number.

10168095006720 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 10168095006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21394650920544).

10168095006720 is an abundant number, since it is smaller than the sum of its proper divisors (32621206834368).

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

10168095006720 is an equidigital number, since it uses as much as digits as its factorization.

10168095006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10168095006720 in words is "ten trillion, one hundred sixty-eight billion, ninety-five million, six thousand, seven hundred twenty".