10362800448 has 560 divisors, whose sum is σ = 41265189504. Its totient is φ = 2483343360.

The previous prime is 10362800417. The next prime is 10362800473. The reversal of 10362800448 is 84400826301.

It is a super-3 number, since 3×10362800448³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5188186 + ... + 5190182.

Almost surely, 2^10362800448 is an apocalyptic number.

10362800448 is a gapful number since it is divisible by the number (18) 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 10362800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632594752).

10362800448 is an abundant number, since it is smaller than the sum of its proper divisors (30902389056).

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

10362800448 is a wasteful number, since it uses less digits than its factorization.

10362800448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10362800448 in words is "ten billion, three hundred sixty-two million, eight hundred thousand, four hundred forty-eight".