1126516518568 has 192 divisors, whose sum is σ = 2610431485200. Its totient is φ = 453616128000.

The previous prime is 1126516518551. The next prime is 1126516518599. The reversal of 1126516518568 is 8658156156211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27629753284 + 1098886765284 = 166222^2 + 1048278^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196220178 + ... + 196225918.

Almost surely, 2^{1126516518568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126516518568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305215742600).

1126516518568 is an abundant number, since it is smaller than the sum of its proper divisors (1483914966632).

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

1126516518568 is a wasteful number, since it uses less digits than its factorization.

1126516518568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6241 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 55.

The spelling of 1126516518568 in words is "one trillion, one hundred twenty-six billion, five hundred sixteen million, five hundred eighteen thousand, five hundred sixty-eight".