1127513268882 has 192 divisors, whose sum is σ = 3284702104320. Its totient is φ = 269948505600.

The previous prime is 1127513268881. The next prime is 1127513268961. The reversal of 1127513268882 is 2888623157211.

It is a happy number.

1127513268882 is a `hidden beast` number, since 1 + 1 + 27 + 513 + 26 + 8 + 8 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (1127513268881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12730632 + ... + 12818892.

It is an arithmetic number, because the mean of its divisors is an integer number (17107823460).

Almost surely, 2^{1127513268882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127513268882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642351052160).

1127513268882 is an abundant number, since it is smaller than the sum of its proper divisors (2157188835438).

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

1127513268882 is a wasteful number, since it uses less digits than its factorization.

1127513268882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89009 (or 89006 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 1127513268882 in words is "one trillion, one hundred twenty-seven billion, five hundred thirteen million, two hundred sixty-eight thousand, eight hundred eighty-two".