10388900793600 has 2592 divisors, whose sum is σ = 45371158560000. Its totient is φ = 2218139320320.

The previous prime is 10388900793587. The next prime is 10388900793637. The reversal of 10388900793600 is 639700988301.

10388900793600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69724166326 + ... + 69724166474.

It is an arithmetic number, because the mean of its divisors is an integer number (17504305000).

Almost surely, 2^{10388900793600} is an apocalyptic number.

10388900793600 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 10388900793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685579280000).

10388900793600 is an abundant number, since it is smaller than the sum of its proper divisors (34982257766400).

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

10388900793600 is a wasteful number, since it uses less digits than its factorization.

10388900793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10388900793600 in words is "ten trillion, three hundred eighty-eight billion, nine hundred million, seven hundred ninety-three thousand, six hundred".