10032005172000 has 768 divisors, whose sum is σ = 37899032371200. Its totient is φ = 2272408473600.

The previous prime is 10032005171921. The next prime is 10032005172011. The reversal of 10032005172000 is 27150023001.

It is a super-2 number, since 2×10032005172000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6010787166 + ... + 6010788834.

It is an arithmetic number, because the mean of its divisors is an integer number (49347698400).

Almost surely, 2^{10032005172000} is an apocalyptic number.

10032005172000 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 10032005172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18949516185600).

10032005172000 is an abundant number, since it is smaller than the sum of its proper divisors (27867027199200).

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

10032005172000 is a wasteful number, since it uses less digits than its factorization.

10032005172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 10032005172000 its reverse (27150023001), we get a palindrome (10059155195001).

The spelling of 10032005172000 in words is "ten trillion, thirty-two billion, five million, one hundred seventy-two thousand".