10649966482080 has 1344 divisors, whose sum is σ = 40941512156160. Its totient is φ = 2608681033728.

The previous prime is 10649966482061. The next prime is 10649966482093. The reversal of 10649966482080 is 8028466994601.

10649966482080 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 99 + 66 + 482 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×10649966482080² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10649966481999 and 10649966482017.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28552188774 + ... + 28552189146.

It is an arithmetic number, because the mean of its divisors is an integer number (30462434640).

Almost surely, 2^{10649966482080} is an apocalyptic number.

10649966482080 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 10649966482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20470756078080).

10649966482080 is an abundant number, since it is smaller than the sum of its proper divisors (30291545674080).

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

10649966482080 is a wasteful number, since it uses less digits than its factorization.

10649966482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 10649966482080 in words is "ten trillion, six hundred forty-nine billion, nine hundred sixty-six million, four hundred eighty-two thousand, eighty".