10984296960 has 960 divisors, whose sum is σ = 48616888320. Its totient is φ = 2242805760.

The previous prime is 10984296959. The next prime is 10984296971. The reversal of 10984296960 is 6969248901.

10984296960 is a `hidden beast` number, since 10 + 98 + 429 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 10984296897 and 10984296906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354332145 + ... + 354332175.

It is an arithmetic number, because the mean of its divisors is an integer number (50642592).

Almost surely, 2^10984296960 is an apocalyptic number.

10984296960 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 10984296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24308444160).

10984296960 is an abundant number, since it is smaller than the sum of its proper divisors (37632591360).

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

10984296960 is an equidigital number, since it uses as much as digits as its factorization.

10984296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 10984296960 in words is "ten billion, nine hundred eighty-four million, two hundred ninety-six thousand, nine hundred sixty".