10428248012160 has 1024 divisors, whose sum is σ = 38529420595200. Its totient is φ = 2375307755520.

The previous prime is 10428248012159. The next prime is 10428248012183. The reversal of 10428248012160 is 6121084282401.

It is a super-3 number, since 3×10428248012160³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5555805142 + ... + 5555807018.

It is an arithmetic number, because the mean of its divisors is an integer number (37626387300).

Almost surely, 2^{10428248012160} is an apocalyptic number.

10428248012160 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 10428248012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19264710297600).

10428248012160 is an abundant number, since it is smaller than the sum of its proper divisors (28101172583040).

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

10428248012160 is a wasteful number, since it uses less digits than its factorization.

10428248012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 10428248012160 in words is "ten trillion, four hundred twenty-eight billion, two hundred forty-eight million, twelve thousand, one hundred sixty".