10628403817600 has 192 divisors, whose sum is σ = 26896450347360. Its totient is φ = 4148760084480.

The previous prime is 10628403817553. The next prime is 10628403817613. The reversal of 10628403817600 is 671830482601.

It is a happy number.

10628403817600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10628403817600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22709152 + ... + 23172448.

Almost surely, 2^{10628403817600} is an apocalyptic number.

10628403817600 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 10628403817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448225173680).

10628403817600 is an abundant number, since it is smaller than the sum of its proper divisors (16268046529760).

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

10628403817600 is a wasteful number, since it uses less digits than its factorization.

10628403817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463495 (or 463478 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 10628403817600 in words is "ten trillion, six hundred twenty-eight billion, four hundred three million, eight hundred seventeen thousand, six hundred".