10649969680000 has 960 divisors, whose sum is σ = 33881140814400. Its totient is φ = 3308304384000.

The previous prime is 10649969679959. The next prime is 10649969680001. The reversal of 10649969680000 is 8696994601.

10649969680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10649969680000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10649969680001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1713036892 + ... + 1713043108.

It is an arithmetic number, because the mean of its divisors is an integer number (35292855015).

Almost surely, 2^{10649969680000} is an apocalyptic number.

10649969680000 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 10649969680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16940570407200).

10649969680000 is an abundant number, since it is smaller than the sum of its proper divisors (23231171134400).

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

10649969680000 is an equidigital number, since it uses as much as digits as its factorization.

10649969680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 58.

The spelling of 10649969680000 in words is "ten trillion, six hundred forty-nine billion, nine hundred sixty-nine million, six hundred eighty thousand".