10903680552960 has 3120 divisors, whose sum is σ = 47011962729600. Its totient is φ = 2404839849984.

The previous prime is 10903680552959. The next prime is 10903680552967. The reversal of 10903680552960 is 6925508630901.

It is a happy number.

10903680552960 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 3 + 6 + 80 + 552 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10903680552897 and 10903680552906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10903680552967) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 122513264596 + ... + 122513264684.

Almost surely, 2^{10903680552960} is an apocalyptic number.

10903680552960 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 10903680552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23505981364800).

10903680552960 is an abundant number, since it is smaller than the sum of its proper divisors (36108282176640).

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

10903680552960 is a wasteful number, since it uses less digits than its factorization.

10903680552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 10903680552960 in words is "ten trillion, nine hundred three billion, six hundred eighty million, five hundred fifty-two thousand, nine hundred sixty".