10173116307200 has 432 divisors, whose sum is σ = 31412225488896. Its totient is φ = 3168931430400.

The previous prime is 10173116307169. The next prime is 10173116307281. The reversal of 10173116307200 is 270361137101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972289169 + ... + 972299631.

It is an arithmetic number, because the mean of its divisors is an integer number (72713484928).

Almost surely, 2^{10173116307200} is an apocalyptic number.

10173116307200 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 10173116307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706112744448).

10173116307200 is an abundant number, since it is smaller than the sum of its proper divisors (21239109181696).

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

10173116307200 is a wasteful number, since it uses less digits than its factorization.

10173116307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 10173116307200 in words is "ten trillion, one hundred seventy-three billion, one hundred sixteen million, three hundred seven thousand, two hundred".