1127660873352 has 256 divisors, whose sum is σ = 3256746393600. Its totient is φ = 322719344640.

The previous prime is 1127660873309. The next prime is 1127660873359. The reversal of 1127660873352 is 2533780667211.

It is a junction number, because it is equal to n+sod(n) for n = 1127660873295 and 1127660873304.

It is not an unprimeable number, because it can be changed into a prime (1127660873359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37178049 + ... + 37208367.

It is an arithmetic number, because the mean of its divisors is an integer number (12721665600).

Almost surely, 2^{1127660873352} is an apocalyptic number.

1127660873352 is a gapful number since it is divisible by the number (12) 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 1127660873352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628373196800).

1127660873352 is an abundant number, since it is smaller than the sum of its proper divisors (2129085520248).

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

1127660873352 is a wasteful number, since it uses less digits than its factorization.

1127660873352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30508 (or 30504 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 1127660873352 in words is "one trillion, one hundred twenty-seven billion, six hundred sixty million, eight hundred seventy-three thousand, three hundred fifty-two".