10173666544272 has 960 divisors, whose sum is σ = 37344009830400. Its totient is φ = 2509311467520.

The previous prime is 10173666544259. The next prime is 10173666544303. The reversal of 10173666544272 is 27244566637101.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2884508173 + ... + 2884511699.

It is an arithmetic number, because the mean of its divisors is an integer number (38900010240).

Almost surely, 2^{10173666544272} is an apocalyptic number.

10173666544272 is a gapful number since it is divisible by the number (12) 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 10173666544272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18672004915200).

10173666544272 is an abundant number, since it is smaller than the sum of its proper divisors (27170343286128).

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

10173666544272 is a wasteful number, since it uses less digits than its factorization.

10173666544272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10173666544272 in words is "ten trillion, one hundred seventy-three billion, six hundred sixty-six million, five hundred forty-four thousand, two hundred seventy-two".