10729450541056 has 351 divisors, whose sum is σ = 24197899568553. Its totient is φ = 4754575687680.

The previous prime is 10729450540987. The next prime is 10729450541107. The reversal of 10729450541056 is 65014505492701.

The square root of 10729450541056 is 3275584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1587196825600 + 9142253715456 = 1259840^2 + 3023616^2 .

It is a super-2 number, since 2×10729450541056² (a number of 27 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 84483862465 + ... + 84483862591.

Almost surely, 2^{10729450541056} is an apocalyptic number.

10729450541056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10729450541056 is the 3275584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10729450541056

10729450541056 is an abundant number, since it is smaller than the sum of its proper divisors (13468449027497).

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

10729450541056 is an frugal number, since it uses more digits than its factorization.

10729450541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

Multiplying 10729450541056 by its sum of digits (49), we get a square (525743076511744 = 22929088²).

The spelling of 10729450541056 in words is "ten trillion, seven hundred twenty-nine billion, four hundred fifty million, five hundred forty-one thousand, fifty-six".