10626603337728 has 1728 divisors, whose sum is σ = 40418141400000. Its totient is φ = 2664739897344.

The previous prime is 10626603337723. The next prime is 10626603337729. The reversal of 10626603337728 is 82773330662601.

10626603337728 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 6 + 603 + 3 + 3 + 7 + 7 + 28 = 666.

It is a super-2 number, since 2×10626603337728² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10626603337723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21295798023 + ... + 21295798521.

It is an arithmetic number, because the mean of its divisors is an integer number (23390128125).

Almost surely, 2^{10626603337728} is an apocalyptic number.

10626603337728 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 10626603337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209070700000).

10626603337728 is an abundant number, since it is smaller than the sum of its proper divisors (29791538062272).

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

10626603337728 is a wasteful number, since it uses less digits than its factorization.

10626603337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 10626603337728 in words is "ten trillion, six hundred twenty-six billion, six hundred three million, three hundred thirty-seven thousand, seven hundred twenty-eight".