10173161256960 has 1536 divisors, whose sum is σ = 38763518976000. Its totient is φ = 2255015116800.

The previous prime is 10173161256949. The next prime is 10173161257001. The reversal of 10173161256960 is 6965216137101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×10173161256960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 14348605086 + ... + 14348605794.

It is an arithmetic number, because the mean of its divisors is an integer number (25236666000).

Almost surely, 2^{10173161256960} is an apocalyptic number.

10173161256960 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 10173161256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19381759488000).

10173161256960 is an abundant number, since it is smaller than the sum of its proper divisors (28590357719040).

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

10173161256960 is a wasteful number, since it uses less digits than its factorization.

10173161256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 10173161256960 in words is "ten trillion, one hundred seventy-three billion, one hundred sixty-one million, two hundred fifty-six thousand, nine hundred sixty".