10055321672 has 60 divisors (see below), whose sum is σ = 20809995225. Its totient is φ = 4555001440.

The previous prime is 10055321663. The next prime is 10055321693. The reversal of 10055321672 is 27612355001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7297601476 + 2757720196 = 85426^2 + 52514^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70906.

It is a super-2 number, since 2×10055321672² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 34318358 + ... + 34318650.

Almost surely, 2^10055321672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055321672

10055321672 is an abundant number, since it is smaller than the sum of its proper divisors (10754673553).

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

10055321672 is an frugal number, since it uses more digits than its factorization.

10055321672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

Multiplying 10055321672 by its sum of digits (32), we get a square (321770293504 = 567248²).

Adding to 10055321672 its reverse (27612355001), we get a palindrome (37667676673).

The spelling of 10055321672 in words is "ten billion, fifty-five million, three hundred twenty-one thousand, six hundred seventy-two".