10389903775056 has 400 divisors, whose sum is σ = 33634334764800. Its totient is φ = 3075828857856.

The previous prime is 10389903775001. The next prime is 10389903775057. The reversal of 10389903775056 is 65057730998301.

10389903775056 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 9 + 90 + 37 + 7 + 505 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10389903774984 and 10389903775002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10389903775057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46608310 + ... + 46830698.

It is an arithmetic number, because the mean of its divisors is an integer number (84085836912).

Almost surely, 2^{10389903775056} is an apocalyptic number.

10389903775056 is a gapful number since it is divisible by the number (16) 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 10389903775056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817167382400).

10389903775056 is an abundant number, since it is smaller than the sum of its proper divisors (23244430989744).

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

10389903775056 is a wasteful number, since it uses less digits than its factorization.

10389903775056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222528 (or 222513 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 10389903775056 in words is "ten trillion, three hundred eighty-nine billion, nine hundred three million, seven hundred seventy-five thousand, fifty-six".