10903988350080 has 1536 divisors, whose sum is σ = 45980170629120. Its totient is φ = 2328271257600.

The previous prime is 10903988350051. The next prime is 10903988350081. The reversal of 10903988350080 is 8005388930901.

10903988350080 is a `hidden beast` number, since 10 + 90 + 39 + 8 + 8 + 3 + 500 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10903988349999 and 10903988350026.

It is not an unprimeable number, because it can be changed into a prime (10903988350081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6335843620 + ... + 6335845340.

It is an arithmetic number, because the mean of its divisors is an integer number (29935006920).

Almost surely, 2^{10903988350080} is an apocalyptic number.

10903988350080 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 10903988350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22990085314560).

10903988350080 is an abundant number, since it is smaller than the sum of its proper divisors (35076182279040).

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

10903988350080 is a wasteful number, since it uses less digits than its factorization.

10903988350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10903988350080 in words is "ten trillion, nine hundred three billion, nine hundred eighty-eight million, three hundred fifty thousand, eighty".