10771734049024 has 243 divisors, whose sum is σ = 24105207250719. Its totient is φ = 4801744097280.

The previous prime is 10771734049003. The next prime is 10771734049073. The reversal of 10771734049024 is 42094043717701.

It is a happy number.

The square root of 10771734049024 is 3282032.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29282054400 + 10742451994624 = 171120^2 + 3277568^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21162542082 + ... + 21162542590.

Almost surely, 2^{10771734049024} is an apocalyptic number.

10771734049024 is the 3282032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10771734049024

10771734049024 is an abundant number, since it is smaller than the sum of its proper divisors (13333473201695).

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

10771734049024 is an frugal number, since it uses more digits than its factorization.

10771734049024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

Multiplying 10771734049024 by its sum of digits (49), we get a square (527814968402176 = 22974224²).

The spelling of 10771734049024 in words is "ten trillion, seven hundred seventy-one billion, seven hundred thirty-four million, forty-nine thousand, twenty-four".