274741560132160 has 896 divisors, whose sum is σ = 752769559890432. Its totient is φ = 94634901504000.

The previous prime is 274741560132121. The next prime is 274741560132167. The reversal of 274741560132160 is 61231065147472.

It is not an unprimeable number, because it can be changed into a prime (274741560132167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207979984300 + ... + 207979985620.

It is an arithmetic number, because the mean of its divisors is an integer number (840144598092).

Almost surely, 2^{274741560132160} is an apocalyptic number.

274741560132160 is a gapful number since it is divisible by the number (20) 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 274741560132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376384779945216).

274741560132160 is an abundant number, since it is smaller than the sum of its proper divisors (478027999758272).

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

274741560132160 is a wasteful number, since it uses less digits than its factorization.

274741560132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 274741560132160 in words is "two hundred seventy-four trillion, seven hundred forty-one billion, five hundred sixty million, one hundred thirty-two thousand, one hundred sixty".