1160736774400 has 324 divisors, whose sum is σ = 3366586157508. Its totient is φ = 395047403520.

The previous prime is 1160736774361. The next prime is 1160736774419. The reversal of 1160736774400 is 44776370611.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 59177373696 + 1101559400704 = 243264^2 + 1049552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42949692 + ... + 42976708.

It is an arithmetic number, because the mean of its divisors is an integer number (10390698017).

Almost surely, 2^{1160736774400} is an apocalyptic number.

1160736774400 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 1160736774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683293078754).

1160736774400 is an abundant number, since it is smaller than the sum of its proper divisors (2205849383108).

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

1160736774400 is a wasteful number, since it uses less digits than its factorization.

1160736774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27194 (or 27168 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 1160736774400 in words is "one trillion, one hundred sixty billion, seven hundred thirty-six million, seven hundred seventy-four thousand, four hundred".