10065169121280 has 3072 divisors, whose sum is σ = 44823071139840. Its totient is φ = 1902536294400.

The previous prime is 10065169121279. The next prime is 10065169121281. The reversal of 10065169121280 is 8212196156001.

It is an interprime number because it is at equal distance from previous prime (10065169121279) and next prime (10065169121281).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10065169121281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165002772450 + ... + 165002772510.

It is an arithmetic number, because the mean of its divisors is an integer number (14590843470).

Almost surely, 2^{10065169121280} is an apocalyptic number.

10065169121280 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 10065169121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411535569920).

10065169121280 is an abundant number, since it is smaller than the sum of its proper divisors (34757902018560).

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

10065169121280 is a wasteful number, since it uses less digits than its factorization.

10065169121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 10065169121280 in words is "ten trillion, sixty-five billion, one hundred sixty-nine million, one hundred twenty-one thousand, two hundred eighty".