10649066029056 has 3240 divisors, whose sum is σ = 44788499290080. Its totient is φ = 2504213397504.

The previous prime is 10649066029001. The next prime is 10649066029057. The reversal of 10649066029056 is 65092066094601.

10649066029056 is a `hidden beast` number, since 1 + 0 + 6 + 490 + 6 + 60 + 2 + 90 + 5 + 6 = 666.

It is a super-2 number, since 2×10649066029056² (a number of 27 digits) contains 22 as substring.

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 = 10649066028993 and 10649066029011.

It is not an unprimeable number, because it can be changed into a prime (10649066029057) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 560477159415 + ... + 560477159433.

It is an arithmetic number, because the mean of its divisors is an integer number (13823610892).

Almost surely, 2^{10649066029056} is an apocalyptic number.

10649066029056 is a gapful number since it is divisible by the number (16) 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 10649066029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394249645040).

10649066029056 is an abundant number, since it is smaller than the sum of its proper divisors (34139433261024).

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

10649066029056 is an equidigital number, since it uses as much as digits as its factorization.

10649066029056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 10649066029056 in words is "ten trillion, six hundred forty-nine billion, sixty-six million, twenty-nine thousand, fifty-six".