10170424471200 has 288 divisors, whose sum is σ = 37866361397760. Its totient is φ = 2322678758400.

The previous prime is 10170424471127. The next prime is 10170424471213. The reversal of 10170424471200 is 217442407101.

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, 19414311 + ... + 19931289.

It is an arithmetic number, because the mean of its divisors is an integer number (131480421520).

Almost surely, 2^{10170424471200} is an apocalyptic number.

10170424471200 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 10170424471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18933180698880).

10170424471200 is an abundant number, since it is smaller than the sum of its proper divisors (27695936926560).

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

10170424471200 is a wasteful number, since it uses less digits than its factorization.

10170424471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518180 (or 518167 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

Adding to 10170424471200 its reverse (217442407101), we get a palindrome (10387866878301).

The spelling of 10170424471200 in words is "ten trillion, one hundred seventy billion, four hundred twenty-four million, four hundred seventy-one thousand, two hundred".