10630128600 has 864 divisors, whose sum is σ = 45692075520. Its totient is φ = 2194698240.

The previous prime is 10630128541. The next prime is 10630128631. The reversal of 10630128600 is 682103601.

10630128600 is a `hidden beast` number, since 1 + 0 + 6 + 30 + 1 + 28 + 600 = 666.

It is a super-2 number, since 2×10630128600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 83701737 + ... + 83701863.

Almost surely, 2^10630128600 is an apocalyptic number.

10630128600 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 10630128600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22846037760).

10630128600 is an abundant number, since it is smaller than the sum of its proper divisors (35061946920).

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

10630128600 is a wasteful number, since it uses less digits than its factorization.

10630128600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10630128600 in words is "ten billion, six hundred thirty million, one hundred twenty-eight thousand, six hundred".