10496105984000 has 1664 divisors, whose sum is σ = 34255564062720. Its totient is φ = 3139928064000.

The previous prime is 10496105983981. The next prime is 10496105984011. The reversal of 10496105984000 is 48950169401.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×10496105984000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244095487979 + ... + 244095488021.

It is an arithmetic number, because the mean of its divisors is an integer number (20586276480).

Almost surely, 2^{10496105984000} is an apocalyptic number.

10496105984000 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 10496105984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127782031360).

10496105984000 is an abundant number, since it is smaller than the sum of its proper divisors (23759458078720).

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

10496105984000 is an frugal number, since it uses more digits than its factorization.

10496105984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 10496105984000 in words is "ten trillion, four hundred ninety-six billion, one hundred five million, nine hundred eighty-four thousand".