10083628800 has 648 divisors, whose sum is σ = 41812636320. Its totient is φ = 2270822400.

The previous prime is 10083628799. The next prime is 10083628843. The reversal of 10083628800 is 882638001.

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 71 ways as a sum of consecutive naturals, for example, 35884660 + ... + 35884940.

Almost surely, 2^10083628800 is an apocalyptic number.

10083628800 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 10083628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20906318160).

10083628800 is an abundant number, since it is smaller than the sum of its proper divisors (31729007520).

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

10083628800 is a wasteful number, since it uses less digits than its factorization.

10083628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 1008 and 3628800, that multiplied together give a square (3657830400 = 60480²).

The spelling of 10083628800 in words is "ten billion, eighty-three million, six hundred twenty-eight thousand, eight hundred".