10172972404224 has 280 divisors, whose sum is σ = 34828777534320. Its totient is φ = 2906562797568.

The previous prime is 10172972404163. The next prime is 10172972404261. The reversal of 10172972404224 is 42240427927101.

10172972404224 is a `hidden beast` number, since 1 + 0 + 17 + 2 + 9 + 7 + 2 + 404 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10172972404224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 665932 + ... + 4559540.

It is an arithmetic number, because the mean of its divisors is an integer number (124388491194).

Almost surely, 2^{10172972404224} is an apocalyptic number.

10172972404224 is a gapful number since it is divisible by the number (14) 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 10172972404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17414388767160).

10172972404224 is an abundant number, since it is smaller than the sum of its proper divisors (24655805130096).

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

10172972404224 is an frugal number, since it uses more digits than its factorization.

10172972404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893652 (or 3893621 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10172972404224 in words is "ten trillion, one hundred seventy-two billion, nine hundred seventy-two million, four hundred four thousand, two hundred twenty-four".